2(3z+3)=(2+1)(3-5)

Solution for 2(3z+3)=(2+1)(3-5) equation:

Simplifying
2(3z + 3) = (2 + 1)(3 + -5)

Reorder the terms:
2(3 + 3z) = (2 + 1)(3 + -5)
(3 * 2 + 3z * 2) = (2 + 1)(3 + -5)
(6 + 6z) = (2 + 1)(3 + -5)

Combine like terms: 2 + 1 = 3
6 + 6z = (3)(3 + -5)

Combine like terms: 3 + -5 = -2
6 + 6z = 3(-2)

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

Solving
6 + 6z = -6

Solving for variable 'z'.

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

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

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

Combine like terms: -6 + -6 = -12
6z = -12

Divide each side by '6'.
z = -2

Simplifying
z = -2