6q-18+40+7q-24+20q-38+41+95=360

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Solution for 6q-18+40+7q-24+20q-38+41+95=360 equation:


Simplifying
6q + -18 + 40 + 7q + -24 + 20q + -38 + 41 + 95 = 360

Reorder the terms:
-18 + 40 + -24 + -38 + 41 + 95 + 6q + 7q + 20q = 360

Combine like terms: -18 + 40 = 22
22 + -24 + -38 + 41 + 95 + 6q + 7q + 20q = 360

Combine like terms: 22 + -24 = -2
-2 + -38 + 41 + 95 + 6q + 7q + 20q = 360

Combine like terms: -2 + -38 = -40
-40 + 41 + 95 + 6q + 7q + 20q = 360

Combine like terms: -40 + 41 = 1
1 + 95 + 6q + 7q + 20q = 360

Combine like terms: 1 + 95 = 96
96 + 6q + 7q + 20q = 360

Combine like terms: 6q + 7q = 13q
96 + 13q + 20q = 360

Combine like terms: 13q + 20q = 33q
96 + 33q = 360

Solving
96 + 33q = 360

Solving for variable 'q'.

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

Add '-96' to each side of the equation.
96 + -96 + 33q = 360 + -96

Combine like terms: 96 + -96 = 0
0 + 33q = 360 + -96
33q = 360 + -96

Combine like terms: 360 + -96 = 264
33q = 264

Divide each side by '33'.
q = 8

Simplifying
q = 8

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