3(2z+25)-2(z-1)=78

Solution for 3(2z+25)-2(z-1)=78 equation:

Simplifying
3(2z + 25) + -2(z + -1) = 78

Reorder the terms:
3(25 + 2z) + -2(z + -1) = 78
(25 * 3 + 2z * 3) + -2(z + -1) = 78
(75 + 6z) + -2(z + -1) = 78

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