3(2z+2.5)-2(2-1)=78

Solution for 3(2z+2.5)-2(2-1)=78 equation:

Simplifying
3(2z + 2.5) + -2(2 + -1) = 78

Reorder the terms:
3(2.5 + 2z) + -2(2 + -1) = 78
(2.5 * 3 + 2z * 3) + -2(2 + -1) = 78
(7.5 + 6z) + -2(2 + -1) = 78

Combine like terms: 2 + -1 = 1
7.5 + 6z + -2(1) = 78

Multiply -2 * 1
7.5 + 6z + -2 = 78

Reorder the terms:
7.5 + -2 + 6z = 78

Combine like terms: 7.5 + -2 = 5.5
5.5 + 6z = 78

Solving
5.5 + 6z = 78

Solving for variable 'z'.

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

Add '-5.5' to each side of the equation.
5.5 + -5.5 + 6z = 78 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 6z = 78 + -5.5
6z = 78 + -5.5

Combine like terms: 78 + -5.5 = 72.5
6z = 72.5

Divide each side by '6'.
z = 12.08333333

Simplifying
z = 12.08333333