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Simplifying 9q + -31 = -61 + 3q Reorder the terms: -31 + 9q = -61 + 3q Solving -31 + 9q = -61 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -31 + 9q + -3q = -61 + 3q + -3q Combine like terms: 9q + -3q = 6q -31 + 6q = -61 + 3q + -3q Combine like terms: 3q + -3q = 0 -31 + 6q = -61 + 0 -31 + 6q = -61 Add '31' to each side of the equation. -31 + 31 + 6q = -61 + 31 Combine like terms: -31 + 31 = 0 0 + 6q = -61 + 31 6q = -61 + 31 Combine like terms: -61 + 31 = -30 6q = -30 Divide each side by '6'. q = -5 Simplifying q = -5
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