Question

3(5z-7)-2(9z-11) = 4(8z-13) -17​

Answer 1

Answer:

z=2

Step-by-step explanation:

Let's solve your equation step-by-step.

3(5z−7)−2(9z−11)=4(8z−13)−17

Step 1: Simplify both sides of the equation.

3(5z−7)−2(9z−11)=4(8z−13)−17

(3)(5z)+(3)(−7)+(−2)(9z)+(−2)(−11)=(4)(8z)+(4)(−13)+−17(Distribute)

15z+−21+−18z+22=32z+−52+−17

(15z+−18z)+(−21+22)=(32z)+(−52+−17)(Combine Like Terms)

−3z+1=32z+−69

−3z+1=32z−69

Step 2: Subtract 32z from both sides.

−3z+1−32z=32z−69−32z

−35z+1=−69

Step 3: Subtract 1 from both sides.

−35z+1−1=−69−1

−35z=−70

Step 4: Divide both sides by -35.

−35z −35 = −70 −35

z=2