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Simplifying 2q + 30 + 2q + 78 = 180 Reorder the terms: 30 + 78 + 2q + 2q = 180 Combine like terms: 30 + 78 = 108 108 + 2q + 2q = 180 Combine like terms: 2q + 2q = 4q 108 + 4q = 180 Solving 108 + 4q = 180 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 4q = 180 + -108 Combine like terms: 108 + -108 = 0 0 + 4q = 180 + -108 4q = 180 + -108 Combine like terms: 180 + -108 = 72 4q = 72 Divide each side by '4'. q = 18 Simplifying q = 18
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