Answer :
To solve the equation [tex]\(2(t + 1) - 3 = -19\)[/tex], follow these detailed steps:
1. Distribute the 2 inside the parenthesis:
[tex]\[ 2(t + 1) - 3 = 2t + 2 - 3 \][/tex]
2. Combine like terms:
[tex]\[ 2t + 2 - 3 = 2t - 1 \][/tex]
3. Write the simplified equation:
[tex]\[ 2t - 1 = -19 \][/tex]
4. Add 1 to both sides to isolate the term with the variable:
[tex]\[ 2t - 1 + 1 = -19 + 1 \][/tex]
Simplifying this, we get:
[tex]\[ 2t = -18 \][/tex]
5. Divide both sides of the equation by 2 to solve for [tex]\(t\)[/tex]:
[tex]\[ \frac{2t}{2} = \frac{-18}{2} \][/tex]
Simplifying this, we get:
[tex]\[ t = -9 \][/tex]
So, the solution to the equation [tex]\(2(t + 1) - 3 = -19\)[/tex] is [tex]\(t = -9\)[/tex].
1. Distribute the 2 inside the parenthesis:
[tex]\[ 2(t + 1) - 3 = 2t + 2 - 3 \][/tex]
2. Combine like terms:
[tex]\[ 2t + 2 - 3 = 2t - 1 \][/tex]
3. Write the simplified equation:
[tex]\[ 2t - 1 = -19 \][/tex]
4. Add 1 to both sides to isolate the term with the variable:
[tex]\[ 2t - 1 + 1 = -19 + 1 \][/tex]
Simplifying this, we get:
[tex]\[ 2t = -18 \][/tex]
5. Divide both sides of the equation by 2 to solve for [tex]\(t\)[/tex]:
[tex]\[ \frac{2t}{2} = \frac{-18}{2} \][/tex]
Simplifying this, we get:
[tex]\[ t = -9 \][/tex]
So, the solution to the equation [tex]\(2(t + 1) - 3 = -19\)[/tex] is [tex]\(t = -9\)[/tex].
