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 = -73
-73 + 6z + -2z = 78

Combine like terms: 6z + -2z = 4z
-73 + 4z = 78

Solving
-73 + 4z = 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 + 4z = 78 + 73

Combine like terms: -73 + 73 = 0
0 + 4z = 78 + 73
4z = 78 + 73

Combine like terms: 78 + 73 = 151
4z = 151

Divide each side by '4'.
z = 37.75

Simplifying
z = 37.75