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Simplifying 3(q + 3) + 5q = -31 Reorder the terms: 3(3 + q) + 5q = -31 (3 * 3 + q * 3) + 5q = -31 (9 + 3q) + 5q = -31 Combine like terms: 3q + 5q = 8q 9 + 8q = -31 Solving 9 + 8q = -31 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8q = -31 + -9 Combine like terms: 9 + -9 = 0 0 + 8q = -31 + -9 8q = -31 + -9 Combine like terms: -31 + -9 = -40 8q = -40 Divide each side by '8'. q = -5 Simplifying q = -5
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