Let's solve your equation step-by-step.34(24−8z)−16=−23(6z−9)Step 1: Simplify both sides of the equation.34(24−8z)−16=−23(6z−9)Simplify: (Show steps)−6z+2=−4z+6Step 2: Add 4z to both sides.−6z+2+4z=−4z+6+4z−2z+2=6Step 3: Subtract 2 from both sides.−2z+2−2=6−2−2z=4Step 4: Divide both sides by -2.−2z−2=4−2z=−2Answer:z=−2