Question

(20) -95.2 = -7(2.4 + 2d)

Explanation:

Step1: Divide both sides by -7

To isolate the parentheses, divide each side of the equation \(-95.2 = -7(2.4 + 2d)\) by \(-7\).

$$ \frac{-95.2}{-7}=\frac{-7(2.4 + 2d)}{-7} $$

Calculating the left - hand side: \(\frac{-95.2}{-7}=13.6\), and the right - hand side simplifies to \(2.4 + 2d\). So we get \(13.6=2.4 + 2d\).

Step2: Subtract 2.4 from both sides

To isolate the term with \(d\), subtract \(2.4\) from both sides of the equation \(13.6 = 2.4+2d\).

$$ 13.6 - 2.4=2.4 + 2d-2.4 $$

Calculating the left - hand side: \(13.6−2.4 = 11.2\), and the right - hand side simplifies to \(2d\). So we have \(11.2 = 2d\).

Step3: Divide both sides by 2

To solve for \(d\), divide both sides of the equation \(11.2 = 2d\) by \(2\).

$$ \frac{11.2}{2}=\frac{2d}{2} $$

Calculating the left - hand side: \(\frac{11.2}{2}=5.6\), and the right - hand side simplifies to \(d\). So \(d = 5.6\).

Answer:

\(d = 5.6\)