-6(2-3)-3(5z-2)=87

Solution for -6(2-3)-3(5z-2)=87 equation:

Simplifying
-6(2 + -3) + -3(5z + -2) = 87

Combine like terms: 2 + -3 = -1
-6(-1) + -3(5z + -2) = 87

Multiply -6 * -1
6 + -3(5z + -2) = 87

Reorder the terms:
6 + -3(-2 + 5z) = 87
6 + (-2 * -3 + 5z * -3) = 87
6 + (6 + -15z) = 87

Combine like terms: 6 + 6 = 12
12 + -15z = 87

Solving
12 + -15z = 87

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + -15z = 87 + -12

Combine like terms: 12 + -12 = 0
0 + -15z = 87 + -12
-15z = 87 + -12

Combine like terms: 87 + -12 = 75
-15z = 75

Divide each side by '-15'.
z = -5

Simplifying
z = -5