Question

what value of v is a solution to this equation? -9v - 6v = -30 v = -1 v = 2

Explanation:

Step1: Combine like terms

First, we combine the terms with \( v \) on the left side of the equation. \( -9v - 6v = (-9 - 6)v = -15v \). So the equation becomes \( -15v = -30 \).

Step2: Solve for \( v \)

To solve for \( v \), we divide both sides of the equation by \( -15 \). So \( v=\frac{-30}{-15} \).

Step3: Simplify the fraction

Simplifying \( \frac{-30}{-15} \), we know that a negative divided by a negative is positive, and \( 30\div15 = 2 \), so \( v = 2 \). We can also check by plugging \( v = -1 \) and \( v = 2 \) into the original equation. For \( v=-1 \): \( -9(-1)-6(-1)=9 + 6=15
eq - 30 \). For \( v = 2 \): \( -9(2)-6(2)=-18-12=-30 \), which matches the right side.

Answer:

\( v = 2 \) (or in the format of the options: B. \( v = 2 \))