16=-3(2z-2)+2(z-4)

Solution for 16=-3(2z-2)+2(z-4) equation:

Simplifying
16 = -3(2z + -2) + 2(z + -4)

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

Reorder the terms:
16 = 6 + -6z + 2(-4 + z)
16 = 6 + -6z + (-4 * 2 + z * 2)
16 = 6 + -6z + (-8 + 2z)

Reorder the terms:
16 = 6 + -8 + -6z + 2z

Combine like terms: 6 + -8 = -2
16 = -2 + -6z + 2z

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

Solving
16 = -2 + -4z

Solving for variable 'z'.

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

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

Combine like terms: -4z + 4z = 0
16 + 4z = -2 + 0
16 + 4z = -2

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

Combine like terms: 16 + -16 = 0
0 + 4z = -2 + -16
4z = -2 + -16

Combine like terms: -2 + -16 = -18
4z = -18

Divide each side by '4'.
z = -4.5

Simplifying
z = -4.5