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Simplifying -12 = -2(q + -9) Reorder the terms: -12 = -2(-9 + q) -12 = (-9 * -2 + q * -2) -12 = (18 + -2q) Solving -12 = 18 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -12 + 2q = 18 + -2q + 2q Combine like terms: -2q + 2q = 0 -12 + 2q = 18 + 0 -12 + 2q = 18 Add '12' to each side of the equation. -12 + 12 + 2q = 18 + 12 Combine like terms: -12 + 12 = 0 0 + 2q = 18 + 12 2q = 18 + 12 Combine like terms: 18 + 12 = 30 2q = 30 Divide each side by '2'. q = 15 Simplifying q = 15
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