(2z)+(2z)+(3z-3)+(3z-3)=74

Solution for (2z)+(2z)+(3z-3)+(3z-3)=74 equation:

Simplifying
(2z) + (2z) + (3z + -3) + (3z + -3) = 74

Reorder the terms:
(2z) + (2z) + (-3 + 3z) + (3z + -3) = 74

Remove parenthesis around (-3 + 3z)
(2z) + (2z) + -3 + 3z + (3z + -3) = 74

Reorder the terms:
(2z) + (2z) + -3 + 3z + (-3 + 3z) = 74

Remove parenthesis around (-3 + 3z)
(2z) + (2z) + -3 + 3z + -3 + 3z = 74

Reorder the terms:
-3 + -3 + (2z) + (2z) + 3z + 3z = 74

Combine like terms: -3 + -3 = -6
-6 + (2z) + (2z) + 3z + 3z = 74

Combine like terms: (2z) + (2z) = 4z
-6 + 4z + 3z + 3z = 74

Combine like terms: 4z + 3z = 7z
-6 + 7z + 3z = 74

Combine like terms: 7z + 3z = 10z
-6 + 10z = 74

Solving
-6 + 10z = 74

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 10z = 74 + 6

Combine like terms: -6 + 6 = 0
0 + 10z = 74 + 6
10z = 74 + 6

Combine like terms: 74 + 6 = 80
10z = 80

Divide each side by '10'.
z = 8

Simplifying
z = 8