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Simplifying 9(q + -2) = 3(3 + -12) Reorder the terms: 9(-2 + q) = 3(3 + -12) (-2 * 9 + q * 9) = 3(3 + -12) (-18 + 9q) = 3(3 + -12) Combine like terms: 3 + -12 = -9 -18 + 9q = 3(-9) Multiply 3 * -9 -18 + 9q = -27 Solving -18 + 9q = -27 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9q = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 9q = -27 + 18 9q = -27 + 18 Combine like terms: -27 + 18 = -9 9q = -9 Divide each side by '9'. q = -1 Simplifying q = -1
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