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b. -4r = 32

Question

b. -4r = 32

Explanation:

Step1: Divide both sides by -4

To solve for \( r \) in the equation \( -4r = 32 \), we divide both sides of the equation by \( -4 \). This is based on the division property of equality, which states that if we divide both sides of an equation by the same non - zero number, the two sides remain equal.
\[
\frac{-4r}{-4}=\frac{32}{-4}
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{-4r}{-4}=r \). Simplifying the right - hand side, \( \frac{32}{-4}=-8 \).

Answer:

\( r = - 8 \)