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Simplifying 0.25(12 + -16q) = 5(q + 6) (12 * 0.25 + -16q * 0.25) = 5(q + 6) (3 + -4q) = 5(q + 6) Reorder the terms: 3 + -4q = 5(6 + q) 3 + -4q = (6 * 5 + q * 5) 3 + -4q = (30 + 5q) Solving 3 + -4q = 30 + 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 + -4q + -5q = 30 + 5q + -5q Combine like terms: -4q + -5q = -9q 3 + -9q = 30 + 5q + -5q Combine like terms: 5q + -5q = 0 3 + -9q = 30 + 0 3 + -9q = 30 Add '-3' to each side of the equation. 3 + -3 + -9q = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -9q = 30 + -3 -9q = 30 + -3 Combine like terms: 30 + -3 = 27 -9q = 27 Divide each side by '-9'. q = -3 Simplifying q = -3
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