(3q+(2(7q-4)))=66

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Solution for (3q+(2(7q-4)))=66 equation:


Simplifying
(3q + (2(7q + -4))) = 66

Reorder the terms:
(3q + (2(-4 + 7q))) = 66
(3q + ((-4 * 2 + 7q * 2))) = 66
(3q + ((-8 + 14q))) = 66
(3q + (-8 + 14q)) = 66

Remove parenthesis around (-8 + 14q)
(3q + -8 + 14q) = 66

Reorder the terms:
(-8 + 3q + 14q) = 66

Combine like terms: 3q + 14q = 17q
(-8 + 17q) = 66

Remove parenthesis around (-8 + 17q)
-8 + 17q = 66

Solving
-8 + 17q = 66

Solving for variable 'q'.

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

Add '8' to each side of the equation.
-8 + 8 + 17q = 66 + 8

Combine like terms: -8 + 8 = 0
0 + 17q = 66 + 8
17q = 66 + 8

Combine like terms: 66 + 8 = 74
17q = 74

Divide each side by '17'.
q = 4.352941176

Simplifying
q = 4.352941176

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