Solve the inequality for \( v \). \[ 9 v-26 \geq-2(4-9 v) \] Simplify your answer as much as possible.

First, let's simplify the given inequality step by step. The original inequality is: \[ 9 v - 26 \geq -2(4 - 9 v) \] Start by distributing the \(-2\) on the right side: \[ 9 v - 26 \geq -8 + 18 v \] Next, we can rearrange the inequality by moving all terms involving \(v\) to one side and constant terms to the other side. We will subtract \(9v\) from both sides: \[ -26 \geq -8 + 9v \] Now, add 8 to both sides: \[ -26 + 8 \geq 9v \] \[ -18 \geq 9v \] Now, divide both sides by 9 to isolate \(v\). Remember, since we are dividing by a positive number, the direction of the inequality remains unchanged: \[ -2 \geq v \] or equivalently, \[ v \leq -2 \] So, the solution to the inequality is: \[ v \leq -2 \]