7(3q+-8)=5(3q+2)

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Solution for 7(3q+-8)=5(3q+2) equation: 


Simplifying
7(3q + -8) = 5(3q + 2)

Reorder the terms:
7(-8 + 3q) = 5(3q + 2)
(-8 * 7 + 3q * 7) = 5(3q + 2)
(-56 + 21q) = 5(3q + 2)

Reorder the terms:
-56 + 21q = 5(2 + 3q)
-56 + 21q = (2 * 5 + 3q * 5)
-56 + 21q = (10 + 15q)

Solving
-56 + 21q = 10 + 15q

Solving for variable 'q'.

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

Add '-15q' to each side of the equation.
-56 + 21q + -15q = 10 + 15q + -15q

Combine like terms: 21q + -15q = 6q
-56 + 6q = 10 + 15q + -15q

Combine like terms: 15q + -15q = 0
-56 + 6q = 10 + 0
-56 + 6q = 10

Add '56' to each side of the equation.
-56 + 56 + 6q = 10 + 56

Combine like terms: -56 + 56 = 0
0 + 6q = 10 + 56
6q = 10 + 56

Combine like terms: 10 + 56 = 66
6q = 66

Divide each side by '6'.
q = 11

Simplifying
q = 11

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