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

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

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

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

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

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

Combine like terms: 75 + 1 = 76
76 + 6z + -2z = 78

Combine like terms: 6z + -2z = 4z
76 + 4z = 78

Solving
76 + 4z = 78

Solving for variable 'z'.

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

Add '-76' to each side of the equation.
76 + -76 + 4z = 78 + -76

Combine like terms: 76 + -76 = 0
0 + 4z = 78 + -76
4z = 78 + -76

Combine like terms: 78 + -76 = 2
4z = 2

Divide each side by '4'.
z = 0.5

Simplifying
z = 0.5