-3(5z-2)-2(z-2)=

Solution for -3(5z-2)-2(z-2)= equation:

Simplifying
-3(5z + -2) + -2(z + -2) = 0

Reorder the terms:
-3(-2 + 5z) + -2(z + -2) = 0
(-2 * -3 + 5z * -3) + -2(z + -2) = 0
(6 + -15z) + -2(z + -2) = 0

Reorder the terms:
6 + -15z + -2(-2 + z) = 0
6 + -15z + (-2 * -2 + z * -2) = 0
6 + -15z + (4 + -2z) = 0

Reorder the terms:
6 + 4 + -15z + -2z = 0

Combine like terms: 6 + 4 = 10
10 + -15z + -2z = 0

Combine like terms: -15z + -2z = -17z
10 + -17z = 0

Solving
10 + -17z = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-10' to each side of the equation.
10 + -10 + -17z = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -17z = 0 + -10
-17z = 0 + -10

Combine like terms: 0 + -10 = -10
-17z = -10

Divide each side by '-17'.
z = 0.5882352941

Simplifying
z = 0.5882352941