-12z+3(2-5z)=9(-2z+1)+15

Solution for -12z+3(2-5z)=9(-2z+1)+15 equation:

Simplifying
-12z + 3(2 + -5z) = 9(-2z + 1) + 15
-12z + (2 * 3 + -5z * 3) = 9(-2z + 1) + 15
-12z + (6 + -15z) = 9(-2z + 1) + 15

Reorder the terms:
6 + -12z + -15z = 9(-2z + 1) + 15

Combine like terms: -12z + -15z = -27z
6 + -27z = 9(-2z + 1) + 15

Reorder the terms:
6 + -27z = 9(1 + -2z) + 15
6 + -27z = (1 * 9 + -2z * 9) + 15
6 + -27z = (9 + -18z) + 15

Reorder the terms:
6 + -27z = 9 + 15 + -18z

Combine like terms: 9 + 15 = 24
6 + -27z = 24 + -18z

Solving
6 + -27z = 24 + -18z

Solving for variable 'z'.

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

Add '18z' to each side of the equation.
6 + -27z + 18z = 24 + -18z + 18z

Combine like terms: -27z + 18z = -9z
6 + -9z = 24 + -18z + 18z

Combine like terms: -18z + 18z = 0
6 + -9z = 24 + 0
6 + -9z = 24

Add '-6' to each side of the equation.
6 + -6 + -9z = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9z = 24 + -6
-9z = 24 + -6

Combine like terms: 24 + -6 = 18
-9z = 18

Divide each side by '-9'.
z = -2

Simplifying
z = -2