2q+2q+(2q-49)+(2q-47)+(2q-45)+31=360

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Solution for 2q+2q+(2q-49)+(2q-47)+(2q-45)+31=360 equation: 


Simplifying
2q + 2q + (2q + -49) + (2q + -47) + (2q + -45) + 31 = 360

Reorder the terms:
2q + 2q + (-49 + 2q) + (2q + -47) + (2q + -45) + 31 = 360

Remove parenthesis around (-49 + 2q)
2q + 2q + -49 + 2q + (2q + -47) + (2q + -45) + 31 = 360

Reorder the terms:
2q + 2q + -49 + 2q + (-47 + 2q) + (2q + -45) + 31 = 360

Remove parenthesis around (-47 + 2q)
2q + 2q + -49 + 2q + -47 + 2q + (2q + -45) + 31 = 360

Reorder the terms:
2q + 2q + -49 + 2q + -47 + 2q + (-45 + 2q) + 31 = 360

Remove parenthesis around (-45 + 2q)
2q + 2q + -49 + 2q + -47 + 2q + -45 + 2q + 31 = 360

Reorder the terms:
-49 + -47 + -45 + 31 + 2q + 2q + 2q + 2q + 2q = 360

Combine like terms: -49 + -47 = -96
-96 + -45 + 31 + 2q + 2q + 2q + 2q + 2q = 360

Combine like terms: -96 + -45 = -141
-141 + 31 + 2q + 2q + 2q + 2q + 2q = 360

Combine like terms: -141 + 31 = -110
-110 + 2q + 2q + 2q + 2q + 2q = 360

Combine like terms: 2q + 2q = 4q
-110 + 4q + 2q + 2q + 2q = 360

Combine like terms: 4q + 2q = 6q
-110 + 6q + 2q + 2q = 360

Combine like terms: 6q + 2q = 8q
-110 + 8q + 2q = 360

Combine like terms: 8q + 2q = 10q
-110 + 10q = 360

Solving
-110 + 10q = 360

Solving for variable 'q'.

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

Add '110' to each side of the equation.
-110 + 110 + 10q = 360 + 110

Combine like terms: -110 + 110 = 0
0 + 10q = 360 + 110
10q = 360 + 110

Combine like terms: 360 + 110 = 470
10q = 470

Divide each side by '10'.
q = 47

Simplifying
q = 47

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