2(z-24)+4(2-4)=32

Solution for 2(z-24)+4(2-4)=32 equation:

Simplifying
2(z + -24) + 4(2 + -4) = 32

Reorder the terms:
2(-24 + z) + 4(2 + -4) = 32
(-24 * 2 + z * 2) + 4(2 + -4) = 32
(-48 + 2z) + 4(2 + -4) = 32

Combine like terms: 2 + -4 = -2
-48 + 2z + 4(-2) = 32

Multiply 4 * -2
-48 + 2z + -8 = 32

Reorder the terms:
-48 + -8 + 2z = 32

Combine like terms: -48 + -8 = -56
-56 + 2z = 32

Solving
-56 + 2z = 32

Solving for variable 'z'.

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

Add '56' to each side of the equation.
-56 + 56 + 2z = 32 + 56

Combine like terms: -56 + 56 = 0
0 + 2z = 32 + 56
2z = 32 + 56

Combine like terms: 32 + 56 = 88
2z = 88

Divide each side by '2'.
z = 44

Simplifying
z = 44