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Simplifying (5q + -10) + (q + 34) = 180 Reorder the terms: (-10 + 5q) + (q + 34) = 180 Remove parenthesis around (-10 + 5q) -10 + 5q + (q + 34) = 180 Reorder the terms: -10 + 5q + (34 + q) = 180 Remove parenthesis around (34 + q) -10 + 5q + 34 + q = 180 Reorder the terms: -10 + 34 + 5q + q = 180 Combine like terms: -10 + 34 = 24 24 + 5q + q = 180 Combine like terms: 5q + q = 6q 24 + 6q = 180 Solving 24 + 6q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6q = 180 + -24 Combine like terms: 24 + -24 = 0 0 + 6q = 180 + -24 6q = 180 + -24 Combine like terms: 180 + -24 = 156 6q = 156 Divide each side by '6'. q = 26 Simplifying q = 26
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