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Simplifying 2(q + 3) + 3(q + 6) = 0 Reorder the terms: 2(3 + q) + 3(q + 6) = 0 (3 * 2 + q * 2) + 3(q + 6) = 0 (6 + 2q) + 3(q + 6) = 0 Reorder the terms: 6 + 2q + 3(6 + q) = 0 6 + 2q + (6 * 3 + q * 3) = 0 6 + 2q + (18 + 3q) = 0 Reorder the terms: 6 + 18 + 2q + 3q = 0 Combine like terms: 6 + 18 = 24 24 + 2q + 3q = 0 Combine like terms: 2q + 3q = 5q 24 + 5q = 0 Solving 24 + 5q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5q = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5q = 0 + -24 5q = 0 + -24 Combine like terms: 0 + -24 = -24 5q = -24 Divide each side by '5'. q = -4.8 Simplifying q = -4.8
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