12z-(3z-1)-2z-35=z+58

Solution for 12z-(3z-1)-2z-35=z+58 equation:

Simplifying
12z + -1(3z + -1) + -2z + -35 = z + 58

Reorder the terms:
12z + -1(-1 + 3z) + -2z + -35 = z + 58
12z + (-1 * -1 + 3z * -1) + -2z + -35 = z + 58
12z + (1 + -3z) + -2z + -35 = z + 58

Reorder the terms:
1 + -35 + 12z + -3z + -2z = z + 58

Combine like terms: 1 + -35 = -34
-34 + 12z + -3z + -2z = z + 58

Combine like terms: 12z + -3z = 9z
-34 + 9z + -2z = z + 58

Combine like terms: 9z + -2z = 7z
-34 + 7z = z + 58

Reorder the terms:
-34 + 7z = 58 + z

Solving
-34 + 7z = 58 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-34 + 7z + -1z = 58 + z + -1z

Combine like terms: 7z + -1z = 6z
-34 + 6z = 58 + z + -1z

Combine like terms: z + -1z = 0
-34 + 6z = 58 + 0
-34 + 6z = 58

Add '34' to each side of the equation.
-34 + 34 + 6z = 58 + 34

Combine like terms: -34 + 34 = 0
0 + 6z = 58 + 34
6z = 58 + 34

Combine like terms: 58 + 34 = 92
6z = 92

Divide each side by '6'.
z = 15.33333333

Simplifying
z = 15.33333333