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Simplifying 7q + 15 = -17 + 5q Reorder the terms: 15 + 7q = -17 + 5q Solving 15 + 7q = -17 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 15 + 7q + -5q = -17 + 5q + -5q Combine like terms: 7q + -5q = 2q 15 + 2q = -17 + 5q + -5q Combine like terms: 5q + -5q = 0 15 + 2q = -17 + 0 15 + 2q = -17 Add '-15' to each side of the equation. 15 + -15 + 2q = -17 + -15 Combine like terms: 15 + -15 = 0 0 + 2q = -17 + -15 2q = -17 + -15 Combine like terms: -17 + -15 = -32 2q = -32 Divide each side by '2'. q = -16 Simplifying q = -16
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