3(-12-42)=-6(-6+6z)

Solution for 3(-12-42)=-6(-6+6z) equation:

Simplifying
3(-12 + -42) = -6(-6 + 6z)

Combine like terms: -12 + -42 = -54
3(-54) = -6(-6 + 6z)

Multiply 3 * -54
-162 = -6(-6 + 6z)
-162 = (-6 * -6 + 6z * -6)
-162 = (36 + -36z)

Solving
-162 = 36 + -36z

Solving for variable 'z'.

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

Add '36z' to each side of the equation.
-162 + 36z = 36 + -36z + 36z

Combine like terms: -36z + 36z = 0
-162 + 36z = 36 + 0
-162 + 36z = 36

Add '162' to each side of the equation.
-162 + 162 + 36z = 36 + 162

Combine like terms: -162 + 162 = 0
0 + 36z = 36 + 162
36z = 36 + 162

Combine like terms: 36 + 162 = 198
36z = 198

Divide each side by '36'.
z = 5.5

Simplifying
z = 5.5