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

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

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

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

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

Multiply -2 * 1
75 + 6z + -2 = 78

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

Combine like terms: 75 + -2 = 73
73 + 6z = 78

Solving
73 + 6z = 78

Solving for variable 'z'.

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

Add '-73' to each side of the equation.
73 + -73 + 6z = 78 + -73

Combine like terms: 73 + -73 = 0
0 + 6z = 78 + -73
6z = 78 + -73

Combine like terms: 78 + -73 = 5
6z = 5

Divide each side by '6'.
z = 0.8333333333

Simplifying
z = 0.8333333333