2q+1+3q+10+3q+q+28+q+31=360

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Solution for 2q+1+3q+10+3q+q+28+q+31=360 equation: 


Simplifying
2q + 1 + 3q + 10 + 3q + q + 28 + q + 31 = 360

Reorder the terms:
1 + 10 + 28 + 31 + 2q + 3q + 3q + q + q = 360

Combine like terms: 1 + 10 = 11
11 + 28 + 31 + 2q + 3q + 3q + q + q = 360

Combine like terms: 11 + 28 = 39
39 + 31 + 2q + 3q + 3q + q + q = 360

Combine like terms: 39 + 31 = 70
70 + 2q + 3q + 3q + q + q = 360

Combine like terms: 2q + 3q = 5q
70 + 5q + 3q + q + q = 360

Combine like terms: 5q + 3q = 8q
70 + 8q + q + q = 360

Combine like terms: 8q + q = 9q
70 + 9q + q = 360

Combine like terms: 9q + q = 10q
70 + 10q = 360

Solving
70 + 10q = 360

Solving for variable 'q'.

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

Add '-70' to each side of the equation.
70 + -70 + 10q = 360 + -70

Combine like terms: 70 + -70 = 0
0 + 10q = 360 + -70
10q = 360 + -70

Combine like terms: 360 + -70 = 290
10q = 290

Divide each side by '10'.
q = 29

Simplifying
q = 29

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