4(-2)z+8(2-2)+3(-2)+6=

Solution for 4(-2)z+8(2-2)+3(-2)+6= equation:

Simplifying
4(-2) * z + 8(2 + -2) + 3(-2) + 6 = 0

Multiply 4 * -2
-8z + 8(2 + -2) + 3(-2) + 6 = 0

Combine like terms: 2 + -2 = 0
-8z + 8(0) + 3(-2) + 6 = 0

Multiply 8 * 0
-8z + 0 + 3(-2) + 6 = 0

Anything times zero is zero.
-8z + 0 + 3(-2) + 6 = 0

Multiply 3 * -2
-8z + 0 + -6 + 6 = 0

Reorder the terms:
0 + -6 + 6 + -8z = 0

Combine like terms: 0 + -6 = -6
-6 + 6 + -8z = 0

Combine like terms: -6 + 6 = 0
0 + -8z = 0
-8z = 0

Solving
-8z = 0

Solving for variable 'z'.

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

Divide each side by '-8'.
z = 0

Simplifying
z = 0