3(5z-20)+2(-2z)+z=24

Solution for 3(5z-20)+2(-2z)+z=24 equation:

Simplifying
3(5z + -20) + 2(-2z) + z = 24

Reorder the terms:
3(-20 + 5z) + 2(-2z) + z = 24
(-20 * 3 + 5z * 3) + 2(-2z) + z = 24
(-60 + 15z) + 2(-2z) + z = 24

Remove parenthesis around (-2z)
-60 + 15z + 2 * -2z + z = 24

Multiply 2 * -2
-60 + 15z + -4z + z = 24

Combine like terms: 15z + -4z = 11z
-60 + 11z + z = 24

Combine like terms: 11z + z = 12z
-60 + 12z = 24

Solving
-60 + 12z = 24

Solving for variable 'z'.

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

Add '60' to each side of the equation.
-60 + 60 + 12z = 24 + 60

Combine like terms: -60 + 60 = 0
0 + 12z = 24 + 60
12z = 24 + 60

Combine like terms: 24 + 60 = 84
12z = 84

Divide each side by '12'.
z = 7

Simplifying
z = 7