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Simplifying 8q + -3(q + -6) + 9 = -4q Reorder the terms: 8q + -3(-6 + q) + 9 = -4q 8q + (-6 * -3 + q * -3) + 9 = -4q 8q + (18 + -3q) + 9 = -4q Reorder the terms: 18 + 9 + 8q + -3q = -4q Combine like terms: 18 + 9 = 27 27 + 8q + -3q = -4q Combine like terms: 8q + -3q = 5q 27 + 5q = -4q Solving 27 + 5q = -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 27 + 5q + 4q = -4q + 4q Combine like terms: 5q + 4q = 9q 27 + 9q = -4q + 4q Combine like terms: -4q + 4q = 0 27 + 9q = 0 Add '-27' to each side of the equation. 27 + -27 + 9q = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9q = 0 + -27 9q = 0 + -27 Combine like terms: 0 + -27 = -27 9q = -27 Divide each side by '9'. q = -3 Simplifying q = -3
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