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

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

Simplifying
3z + -2(z + -8) = 3 + 2z

Reorder the terms:
3z + -2(-8 + z) = 3 + 2z
3z + (-8 * -2 + z * -2) = 3 + 2z
3z + (16 + -2z) = 3 + 2z

Reorder the terms:
16 + 3z + -2z = 3 + 2z

Combine like terms: 3z + -2z = 1z
16 + 1z = 3 + 2z

Solving
16 + 1z = 3 + 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.
16 + 1z + -2z = 3 + 2z + -2z

Combine like terms: 1z + -2z = -1z
16 + -1z = 3 + 2z + -2z

Combine like terms: 2z + -2z = 0
16 + -1z = 3 + 0
16 + -1z = 3

Add '-16' to each side of the equation.
16 + -16 + -1z = 3 + -16

Combine like terms: 16 + -16 = 0
0 + -1z = 3 + -16
-1z = 3 + -16

Combine like terms: 3 + -16 = -13
-1z = -13

Divide each side by '-1'.
z = 13

Simplifying
z = 13