2+2z=3(-2z+1)

Solution for 2+2z=3(-2z+1) equation:

Simplifying
2 + 2z = 3(-2z + 1)

Reorder the terms:
2 + 2z = 3(1 + -2z)
2 + 2z = (1 * 3 + -2z * 3)
2 + 2z = (3 + -6z)

Solving
2 + 2z = 3 + -6z

Solving for variable 'z'.

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

Add '6z' to each side of the equation.
2 + 2z + 6z = 3 + -6z + 6z

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

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

Add '-2' to each side of the equation.
2 + -2 + 8z = 3 + -2

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

Combine like terms: 3 + -2 = 1
8z = 1

Divide each side by '8'.
z = 0.125

Simplifying
z = 0.125