(12q+20)+(13q+5)+(20q+20)=180

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Solution for (12q+20)+(13q+5)+(20q+20)=180 equation:


Simplifying
(12q + 20) + (13q + 5) + (20q + 20) = 180

Reorder the terms:
(20 + 12q) + (13q + 5) + (20q + 20) = 180

Remove parenthesis around (20 + 12q)
20 + 12q + (13q + 5) + (20q + 20) = 180

Reorder the terms:
20 + 12q + (5 + 13q) + (20q + 20) = 180

Remove parenthesis around (5 + 13q)
20 + 12q + 5 + 13q + (20q + 20) = 180

Reorder the terms:
20 + 12q + 5 + 13q + (20 + 20q) = 180

Remove parenthesis around (20 + 20q)
20 + 12q + 5 + 13q + 20 + 20q = 180

Reorder the terms:
20 + 5 + 20 + 12q + 13q + 20q = 180

Combine like terms: 20 + 5 = 25
25 + 20 + 12q + 13q + 20q = 180

Combine like terms: 25 + 20 = 45
45 + 12q + 13q + 20q = 180

Combine like terms: 12q + 13q = 25q
45 + 25q + 20q = 180

Combine like terms: 25q + 20q = 45q
45 + 45q = 180

Solving
45 + 45q = 180

Solving for variable 'q'.

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

Add '-45' to each side of the equation.
45 + -45 + 45q = 180 + -45

Combine like terms: 45 + -45 = 0
0 + 45q = 180 + -45
45q = 180 + -45

Combine like terms: 180 + -45 = 135
45q = 135

Divide each side by '45'.
q = 3

Simplifying
q = 3

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