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Simplifying -2(q + 5) = 3(q + 6) Reorder the terms: -2(5 + q) = 3(q + 6) (5 * -2 + q * -2) = 3(q + 6) (-10 + -2q) = 3(q + 6) Reorder the terms: -10 + -2q = 3(6 + q) -10 + -2q = (6 * 3 + q * 3) -10 + -2q = (18 + 3q) Solving -10 + -2q = 18 + 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. -10 + -2q + -3q = 18 + 3q + -3q Combine like terms: -2q + -3q = -5q -10 + -5q = 18 + 3q + -3q Combine like terms: 3q + -3q = 0 -10 + -5q = 18 + 0 -10 + -5q = 18 Add '10' to each side of the equation. -10 + 10 + -5q = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -5q = 18 + 10 -5q = 18 + 10 Combine like terms: 18 + 10 = 28 -5q = 28 Divide each side by '-5'. q = -5.6 Simplifying q = -5.6
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