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 = 40
7z = 40

Divide each side by '7'.
z = 5.714285714

Simplifying
z = 5.714285714