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

\]