7+3q+5q+3=13q+22-3q

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Solution for 7+3q+5q+3=13q+22-3q equation: 


Simplifying
7 + 3q + 5q + 3 = 13q + 22 + -3q

Reorder the terms:
7 + 3 + 3q + 5q = 13q + 22 + -3q

Combine like terms: 7 + 3 = 10
10 + 3q + 5q = 13q + 22 + -3q

Combine like terms: 3q + 5q = 8q
10 + 8q = 13q + 22 + -3q

Reorder the terms:
10 + 8q = 22 + 13q + -3q

Combine like terms: 13q + -3q = 10q
10 + 8q = 22 + 10q

Solving
10 + 8q = 22 + 10q

Solving for variable 'q'.

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

Add '-10q' to each side of the equation.
10 + 8q + -10q = 22 + 10q + -10q

Combine like terms: 8q + -10q = -2q
10 + -2q = 22 + 10q + -10q

Combine like terms: 10q + -10q = 0
10 + -2q = 22 + 0
10 + -2q = 22

Add '-10' to each side of the equation.
10 + -10 + -2q = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -2q = 22 + -10
-2q = 22 + -10

Combine like terms: 22 + -10 = 12
-2q = 12

Divide each side by '-2'.
q = -6

Simplifying
q = -6

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