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Simplifying 2q + 10 + q + 2q + -42 + 47 = 360 Reorder the terms: 10 + -42 + 47 + 2q + q + 2q = 360 Combine like terms: 10 + -42 = -32 -32 + 47 + 2q + q + 2q = 360 Combine like terms: -32 + 47 = 15 15 + 2q + q + 2q = 360 Combine like terms: 2q + q = 3q 15 + 3q + 2q = 360 Combine like terms: 3q + 2q = 5q 15 + 5q = 360 Solving 15 + 5q = 360 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5q = 360 + -15 Combine like terms: 15 + -15 = 0 0 + 5q = 360 + -15 5q = 360 + -15 Combine like terms: 360 + -15 = 345 5q = 345 Divide each side by '5'. q = 69 Simplifying q = 69
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