(2q)+(2q-22)+(q+44)+(2q)+(106)+(q+32)=720

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Solution for (2q)+(2q-22)+(q+44)+(2q)+(106)+(q+32)=720 equation:


Simplifying
(2q) + (2q + -22) + (q + 44) + (2q) + (106) + (q + 32) = 720

Reorder the terms:
(2q) + (-22 + 2q) + (q + 44) + (2q) + (106) + (q + 32) = 720

Remove parenthesis around (-22 + 2q)
(2q) + -22 + 2q + (q + 44) + (2q) + (106) + (q + 32) = 720

Reorder the terms:
(2q) + -22 + 2q + (44 + q) + (2q) + (106) + (q + 32) = 720

Remove parenthesis around (44 + q)
(2q) + -22 + 2q + 44 + q + (2q) + (106) + (q + 32) = 720
(2q) + -22 + 2q + 44 + q + (2q) + 106 + (q + 32) = 720

Reorder the terms:
(2q) + -22 + 2q + 44 + q + (2q) + 106 + (32 + q) = 720

Remove parenthesis around (32 + q)
(2q) + -22 + 2q + 44 + q + (2q) + 106 + 32 + q = 720

Reorder the terms:
-22 + 44 + 106 + 32 + (2q) + 2q + q + (2q) + q = 720

Combine like terms: -22 + 44 = 22
22 + 106 + 32 + (2q) + 2q + q + (2q) + q = 720

Combine like terms: 22 + 106 = 128
128 + 32 + (2q) + 2q + q + (2q) + q = 720

Combine like terms: 128 + 32 = 160
160 + (2q) + 2q + q + (2q) + q = 720

Combine like terms: (2q) + 2q = 4q
160 + 4q + q + (2q) + q = 720

Combine like terms: 4q + q = 5q
160 + 5q + (2q) + q = 720

Combine like terms: 5q + (2q) = 7q
160 + 7q + q = 720

Combine like terms: 7q + q = 8q
160 + 8q = 720

Solving
160 + 8q = 720

Solving for variable 'q'.

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

Add '-160' to each side of the equation.
160 + -160 + 8q = 720 + -160

Combine like terms: 160 + -160 = 0
0 + 8q = 720 + -160
8q = 720 + -160

Combine like terms: 720 + -160 = 560
8q = 560

Divide each side by '8'.
q = 70

Simplifying
q = 70

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