6+5(z-3)-2z=54

Solution for 6+5(z-3)-2z=54 equation:

Simplifying
6 + 5(z + -3) + -2z = 54

Reorder the terms:
6 + 5(-3 + z) + -2z = 54
6 + (-3 * 5 + z * 5) + -2z = 54
6 + (-15 + 5z) + -2z = 54

Combine like terms: 6 + -15 = -9
-9 + 5z + -2z = 54

Combine like terms: 5z + -2z = 3z
-9 + 3z = 54

Solving
-9 + 3z = 54

Solving for variable 'z'.

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

Add '9' to each side of the equation.
-9 + 9 + 3z = 54 + 9

Combine like terms: -9 + 9 = 0
0 + 3z = 54 + 9
3z = 54 + 9

Combine like terms: 54 + 9 = 63
3z = 63

Divide each side by '3'.
z = 21

Simplifying
z = 21