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Simplifying q + 9 = -8 + -5q + -1 Reorder the terms: 9 + q = -8 + -5q + -1 Reorder the terms: 9 + q = -8 + -1 + -5q Combine like terms: -8 + -1 = -9 9 + q = -9 + -5q Solving 9 + q = -9 + -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. 9 + q + 5q = -9 + -5q + 5q Combine like terms: q + 5q = 6q 9 + 6q = -9 + -5q + 5q Combine like terms: -5q + 5q = 0 9 + 6q = -9 + 0 9 + 6q = -9 Add '-9' to each side of the equation. 9 + -9 + 6q = -9 + -9 Combine like terms: 9 + -9 = 0 0 + 6q = -9 + -9 6q = -9 + -9 Combine like terms: -9 + -9 = -18 6q = -18 Divide each side by '6'. q = -3 Simplifying q = -3
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