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Simplifying 15 + -1(q + 6) = 24 + -6q Reorder the terms: 15 + -1(6 + q) = 24 + -6q 15 + (6 * -1 + q * -1) = 24 + -6q 15 + (-6 + -1q) = 24 + -6q Combine like terms: 15 + -6 = 9 9 + -1q = 24 + -6q Solving 9 + -1q = 24 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 9 + -1q + 6q = 24 + -6q + 6q Combine like terms: -1q + 6q = 5q 9 + 5q = 24 + -6q + 6q Combine like terms: -6q + 6q = 0 9 + 5q = 24 + 0 9 + 5q = 24 Add '-9' to each side of the equation. 9 + -9 + 5q = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5q = 24 + -9 5q = 24 + -9 Combine like terms: 24 + -9 = 15 5q = 15 Divide each side by '5'. q = 3 Simplifying q = 3
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