Question: Solve for v. -2(v + 5) = 6v - 4 + 3(2v + 4) Simplify your answer as much as possible. v =

Solve for v. -2(v + 5) = 6v - 4 + 3(2v + 4) Simplify your answer as much as possible. v =

Solution

Solve for \( v \) in the equation: \[ -2(v + 5) = 6v - 4 + 3(2v + 4) \] First, distribute the terms on both sides. On the left side: \[ -2(v + 5) = -2v - 10 \] On the right side: \[ 3(2v + 4) = 6v + 12 \] Substitute back into the equation: \[ -2v - 10 = 6v - 4 + 6v + 12 \] Combine like terms on the right side: \[ -2v -