4z+3(z+2)=34

Solution for 4z+3(z+2)=34 equation:

Simplifying
4z + 3(z + 2) = 34

Reorder the terms:
4z + 3(2 + z) = 34
4z + (2 * 3 + z * 3) = 34
4z + (6 + 3z) = 34

Reorder the terms:
6 + 4z + 3z = 34

Combine like terms: 4z + 3z = 7z
6 + 7z = 34

Solving
6 + 7z = 34

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 + 7z = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 34 + -6
7z = 34 + -6

Combine like terms: 34 + -6 = 28
7z = 28

Divide each side by '7'.
z = 4

Simplifying
z = 4