q-13+q+9=q+40

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Solution for q-13+q+9=q+40 equation: 


Simplifying
q + -13 + q + 9 = q + 40

Reorder the terms:
-13 + 9 + q + q = q + 40

Combine like terms: -13 + 9 = -4
-4 + q + q = q + 40

Combine like terms: q + q = 2q
-4 + 2q = q + 40

Reorder the terms:
-4 + 2q = 40 + q

Solving
-4 + 2q = 40 + q

Solving for variable 'q'.

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

Add '-1q' to each side of the equation.
-4 + 2q + -1q = 40 + q + -1q

Combine like terms: 2q + -1q = 1q
-4 + 1q = 40 + q + -1q

Combine like terms: q + -1q = 0
-4 + 1q = 40 + 0
-4 + 1q = 40

Add '4' to each side of the equation.
-4 + 4 + 1q = 40 + 4

Combine like terms: -4 + 4 = 0
0 + 1q = 40 + 4
1q = 40 + 4

Combine like terms: 40 + 4 = 44
1q = 44

Divide each side by '1'.
q = 44

Simplifying
q = 44

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