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