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Simplifying 2(q + 6) = 5(q + -3) Reorder the terms: 2(6 + q) = 5(q + -3) (6 * 2 + q * 2) = 5(q + -3) (12 + 2q) = 5(q + -3) Reorder the terms: 12 + 2q = 5(-3 + q) 12 + 2q = (-3 * 5 + q * 5) 12 + 2q = (-15 + 5q) Solving 12 + 2q = -15 + 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. 12 + 2q + -5q = -15 + 5q + -5q Combine like terms: 2q + -5q = -3q 12 + -3q = -15 + 5q + -5q Combine like terms: 5q + -5q = 0 12 + -3q = -15 + 0 12 + -3q = -15 Add '-12' to each side of the equation. 12 + -12 + -3q = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -3q = -15 + -12 -3q = -15 + -12 Combine like terms: -15 + -12 = -27 -3q = -27 Divide each side by '-3'. q = 9 Simplifying q = 9
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