Question

solve for v.
12v - 7v - 4v = 57
v =

Explanation:

Step1: Combine like terms

First, we combine the terms with \( v \) on the left side. \( 12v - 7v - 4v=(12 - 7 - 4)v \). Calculating the coefficient: \( 12-7 = 5 \), then \( 5 - 4=1 \). So the equation simplifies to \( 1v=57 \) or \( v = 57 \).

Step2: Verify (optional)

Substitute \( v = 57 \) back into the original equation: Left side \( 12\times57-7\times57 - 4\times57=(12 - 7 - 4)\times57=1\times57 = 57 \), which equals the right side. So the solution is correct.

Answer:

\( v = 57 \)