Question: Solve for v. -7 = \frac{5}{v + 2} Simplify your answer as much as possible. v = \boxed{\quad}

Solve for v. -7 = \frac{5}{v + 2} Simplify your answer as much as possible. v = \boxed{\quad}

Solution

To solve for \( v \) in the equation: \[ -7 = \frac{5}{v+2} \] First, multiply both sides by \( v+2 \) to eliminate the fraction: \[ -7(v+2) = 5 \] Distribute the \(-7\) on the left side: \[ -7v - 14 = 5 \] Add 14 to both sides to isolate the term with \( v \): \[ -7v = 19 \] Divide both sides by \(-7\) to solve for \( v \): \[ v = -\frac{19}{7} \] Thus, the solution is: \[ v = -\frac{19}{7} \]