Solve for \( q \). \[ 6 q-8 \leq 8+4 q \]

To solve the inequality \( 6q - 8 \leq 8 + 4q \), we start by isolating \( q \) on one side. First, let's move \( 4q \) to the left side by subtracting \( 4q \) from both sides: \[ 6q - 4q - 8 \leq 8 \] This simplifies to: \[ 2q - 8 \leq 8 \] Next, we add \( 8 \) to both sides to further isolate \( q \): \[ 2q \leq 16 \] Now, divide both sides by \( 2 \): \[ q \leq 8 \] Thus, the solution to the inequality is: \[ q \leq 8 \]