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

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

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

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

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

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

Combine like terms: 78 + 2 = 80
75 + 6z = 80

Solving
75 + 6z = 80

Solving for variable 'z'.

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

Add '-75' to each side of the equation.
75 + -75 + 6z = 80 + -75

Combine like terms: 75 + -75 = 0
0 + 6z = 80 + -75
6z = 80 + -75

Combine like terms: 80 + -75 = 5
6z = 5

Divide each side by '6'.
z = 0.8333333333

Simplifying
z = 0.8333333333