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Simplifying 2q + q + -12 + 42 = 180 Reorder the terms: -12 + 42 + 2q + q = 180 Combine like terms: -12 + 42 = 30 30 + 2q + q = 180 Combine like terms: 2q + q = 3q 30 + 3q = 180 Solving 30 + 3q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 3q = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 3q = 180 + -30 3q = 180 + -30 Combine like terms: 180 + -30 = 150 3q = 150 Divide each side by '3'. q = 50 Simplifying q = 50
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