2(-2z+3)=-2z+16

Solution for 2(-2z+3)=-2z+16 equation:

Simplifying
2(-2z + 3) = -2z + 16

Reorder the terms:
2(3 + -2z) = -2z + 16
(3 * 2 + -2z * 2) = -2z + 16
(6 + -4z) = -2z + 16

Reorder the terms:
6 + -4z = 16 + -2z

Solving
6 + -4z = 16 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
6 + -4z + 2z = 16 + -2z + 2z

Combine like terms: -4z + 2z = -2z
6 + -2z = 16 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + -2z = 16 + 0
6 + -2z = 16

Add '-6' to each side of the equation.
6 + -6 + -2z = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = 16 + -6
-2z = 16 + -6

Combine like terms: 16 + -6 = 10
-2z = 10

Divide each side by '-2'.
z = -5

Simplifying
z = -5