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Simplifying 9(q + 1) = -27 Reorder the terms: 9(1 + q) = -27 (1 * 9 + q * 9) = -27 (9 + 9q) = -27 Solving 9 + 9q = -27 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 9q = -27 + -9 Combine like terms: 9 + -9 = 0 0 + 9q = -27 + -9 9q = -27 + -9 Combine like terms: -27 + -9 = -36 9q = -36 Divide each side by '9'. q = -4 Simplifying q = -4
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