Directions: Combine like terms. Simplify each expression.

6. [tex]3k - 2k + 12 + 5r[/tex]

7. [tex]2c + 3b + 8b + c[/tex]

8. [tex]5k + 3 + 2j - 2 - k[/tex]

9. [tex]7 + 4p - 6 + 2m - 2p[/tex]

10. [tex]-4n + 4 - (-2d) + n - 5[/tex]

11. [tex]18 + (-4x) + 1 - 3x + 8y[/tex]

12. [tex]2w + (-11) + 18y + 2w - 11[/tex]

13. [tex]6h - 12 - 9h + 8k + (-3k)[/tex]

14. [tex]3 - 3m - 3m - 8p - 3p[/tex]

15. [tex]14x - 7 + 3y - 7x - 7x[/tex]

Let's combine like terms and simplify each expression step-by-step:

### Expression 6: $3 k - 2 k + 12 + 5 r$

1. Combine the terms involving $ k $:
[tex]\[3k - 2k = k\][/tex]

2. The remaining terms are $ 12 $ and $ 5 r $, which do not combine with any other terms in the expression.

Final simplified expression:
[tex]\[ k + 5r + 12 \][/tex]

### Expression 7: $2 c + 3 b + 8 b + c$

1. Combine the terms involving $ b $:
[tex]\[3b + 8b = 11b\][/tex]

2. Combine the terms involving $ c $:
[tex]\[2c + c = 3c\][/tex]

Final simplified expression:
[tex]\[ 11b + 3c \][/tex]

### Expression 8: $5 k + 3 + 2 j - 2 - k$

1. Combine the terms involving $ k $:
[tex]\[5k - k = 4k\][/tex]

2. Combine the constant terms:
[tex]\[3 - 2 = 1\][/tex]

3. The remaining term involving $ j $ does not combine with any others.

Final simplified expression:
[tex]\[ 4k + 2j + 1 \][/tex]

### Expression 9: $7 + 4 p - 6 + 2 m - 2 p$

1. Combine the terms involving $ p $:
[tex]\[4p - 2p = 2p\][/tex]

2. Combine the constant terms:
[tex]\[7 - 6 = 1\][/tex]

3. The remaining term involving $ m $ does not combine with any others.

Final simplified expression:
[tex]\[ 2p + 2m + 1 \][/tex]

### Expression 10: $-4 n + 4 - (-2 d) + n - 5$

1. Simplify $-(-2d)$:
[tex]\[ \text{-(-2d) = 2d} \][/tex]

2. Combine terms involving $ n $:
[tex]\[-4n + n = -3n\][/tex]

3. Combine the constant terms:
[tex]\[4 - 5 = -1\][/tex]

Final simplified expression:
[tex]\[ 2d - 3n - 1 \][/tex]

### Expression 11: $18 + (-4 x) + 1 - 3 x + 8 y$

1. Combine the terms involving $ x $:
[tex]\[-4x - 3x = -7x\][/tex]

2. Combine the constant terms:
[tex]\[18 + 1 = 19\][/tex]

3. The remaining term involving $ y $ does not combine with any others.

Final simplified expression:
[tex]\[ -7x + 8y + 19 \][/tex]

### Expression 12: $2 w + (-11) + 18 y + 2 w - 11$

1. Combine the terms involving $ w $:
[tex]\[2w + 2w = 4w\][/tex]

2. Combine the constant terms:
[tex]\[-11 - 11 = -22\][/tex]

3. The remaining term involving $ y $ does not combine with any others.

Final simplified expression:
[tex]\[ 4w + 18y - 22 \][/tex]

### Expression 13: $6 h - 12 - 9 h + 8 k + (-3 k)$

1. Combine the terms involving $ h $:
[tex]\[6h - 9h = -3h\][/tex]

2. Combine the terms involving $ k $:
[tex]\[8k - 3k = 5k\][/tex]

3. The constant term $-12$ does not combine with any others.

Final simplified expression:
[tex]\[ -3h + 5k - 12 \][/tex]

### Expression 14: $3 - 3 m - 3 m - 8 p - 3 p$

1. Combine the terms involving $ m $:
[tex]\[-3m - 3m = -6m\][/tex]

2. Combine the terms involving $ p $:
[tex]\[-8p - 3p = -11p\][/tex]

3. The constant term $3$ does not combine with any others.

Final simplified expression:
[tex]\[ 3 - 6m - 11p \][/tex]

### Expression 15: $14 x - 7 + 3 y - 7 x - 7 x$

1. Combine the terms involving $ x $:
[tex]\[14x - 7x - 7x = 0x\][/tex]

[tex]\[14x -(7x +7x) = 0x\][/tex]

2. The term involving $ y $ does not combine with any other terms: $3y$.

3. The constant term is $-7$.

Final simplified expression:
[tex]\[ 3 y - 7 \][/tex]

Putting all the simplified answers together:

6. $ k + 5r + 12 $
7. $ 11 b + 3 c $
8. $ 4 k + 2 j + 1 $
9. $ 2 p + 2 m + 1 $
10. $ 2 d - 3 n - 1 $
11. $ -7 x + 8 y + 19 $
12. $ 4 w + 18 y - 22 $
13. $ -3 h + 5 k - 12 $
14. $ 3 - 6 m - 11 p $
15. [tex]$ 3 y - 7$[/tex]