(6z+75)-(2z-2)=78

Solution for (6z+75)-(2z-2)=78 equation:

Simplifying
(6z + 75) + -1(2z + -2) = 78

Reorder the terms:
(75 + 6z) + -1(2z + -2) = 78

Remove parenthesis around (75 + 6z)
75 + 6z + -1(2z + -2) = 78

Reorder the terms:
75 + 6z + -1(-2 + 2z) = 78
75 + 6z + (-2 * -1 + 2z * -1) = 78
75 + 6z + (2 + -2z) = 78

Reorder the terms:
75 + 2 + 6z + -2z = 78

Combine like terms: 75 + 2 = 77
77 + 6z + -2z = 78

Combine like terms: 6z + -2z = 4z
77 + 4z = 78

Solving
77 + 4z = 78

Solving for variable 'z'.

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

Add '-77' to each side of the equation.
77 + -77 + 4z = 78 + -77

Combine like terms: 77 + -77 = 0
0 + 4z = 78 + -77
4z = 78 + -77

Combine like terms: 78 + -77 = 1
4z = 1

Divide each side by '4'.
z = 0.25

Simplifying
z = 0.25