4(z+3)+2z=42

Solution for 4(z+3)+2z=42 equation:

Simplifying
4(z + 3) + 2z = 42

Reorder the terms:
4(3 + z) + 2z = 42
(3 * 4 + z * 4) + 2z = 42
(12 + 4z) + 2z = 42

Combine like terms: 4z + 2z = 6z
12 + 6z = 42

Solving
12 + 6z = 42

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + 6z = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 6z = 42 + -12
6z = 42 + -12

Combine like terms: 42 + -12 = 30
6z = 30

Divide each side by '6'.
z = 5

Simplifying
z = 5