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

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

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

Reorder the terms:
2(25 + 2z) = 78 + 2(z + -1)
(25 * 2 + 2z * 2) = 78 + 2(z + -1)
(50 + 4z) = 78 + 2(z + -1)

Reorder the terms:
50 + 4z = 78 + 2(-1 + z)
50 + 4z = 78 + (-1 * 2 + z * 2)
50 + 4z = 78 + (-2 + 2z)

Combine like terms: 78 + -2 = 76
50 + 4z = 76 + 2z

Solving
50 + 4z = 76 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
50 + 4z + -2z = 76 + 2z + -2z

Combine like terms: 4z + -2z = 2z
50 + 2z = 76 + 2z + -2z

Combine like terms: 2z + -2z = 0
50 + 2z = 76 + 0
50 + 2z = 76

Add '-50' to each side of the equation.
50 + -50 + 2z = 76 + -50

Combine like terms: 50 + -50 = 0
0 + 2z = 76 + -50
2z = 76 + -50

Combine like terms: 76 + -50 = 26
2z = 26

Divide each side by '2'.
z = 13

Simplifying
z = 13