Answer :
Answer:
Here is your answer my dear frined
Step-by-step explanation:
To simplify the expression \( 26.7 - 6.3(6x - 10.0) \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. **Distribute** \( 6.3 \) across the terms inside the parentheses:
\[
6.3(6x) = 6.3 \cdot 6x = 37.8x
\]
\[
6.3(-10.0) = 6.3 \cdot -10.0 = -63.0
\]
Therefore:
\[
6.3(6x - 10.0) = 37.8x - 63.0
\]
2. **Substitute** the distributed terms back into the original expression:
\[
26.7 - (37.8x - 63.0)
\]
3. **Simplify** by removing the parentheses. Be careful with the subtraction sign:
\[
26.7 - 37.8x + 63.0
\]
4. **Combine** the constant terms:
\[
26.7 + 63.0 = 89.7
\]
Thus, the expression simplifies to:
\[
89.7 - 37.8x
\]
The simplified form of the expression \( 26.7 - 6.3(6x - 10.0) \) is:
\[
89.7 - 37.8x
\]
