30z+42=14z-34

Solution for 30z+42=14z-34 equation:

Simplifying
30z + 42 = 14z + -34

Reorder the terms:
42 + 30z = 14z + -34

Reorder the terms:
42 + 30z = -34 + 14z

Solving
42 + 30z = -34 + 14z

Solving for variable 'z'.

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

Add '-14z' to each side of the equation.
42 + 30z + -14z = -34 + 14z + -14z

Combine like terms: 30z + -14z = 16z
42 + 16z = -34 + 14z + -14z

Combine like terms: 14z + -14z = 0
42 + 16z = -34 + 0
42 + 16z = -34

Add '-42' to each side of the equation.
42 + -42 + 16z = -34 + -42

Combine like terms: 42 + -42 = 0
0 + 16z = -34 + -42
16z = -34 + -42

Combine like terms: -34 + -42 = -76
16z = -76

Divide each side by '16'.
z = -4.75

Simplifying
z = -4.75