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Simplifying 27 = -4q + 5(q + 6) Reorder the terms: 27 = -4q + 5(6 + q) 27 = -4q + (6 * 5 + q * 5) 27 = -4q + (30 + 5q) Reorder the terms: 27 = 30 + -4q + 5q Combine like terms: -4q + 5q = 1q 27 = 30 + 1q Solving 27 = 30 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 27 + -1q = 30 + 1q + -1q Combine like terms: 1q + -1q = 0 27 + -1q = 30 + 0 27 + -1q = 30 Add '-27' to each side of the equation. 27 + -27 + -1q = 30 + -27 Combine like terms: 27 + -27 = 0 0 + -1q = 30 + -27 -1q = 30 + -27 Combine like terms: 30 + -27 = 3 -1q = 3 Divide each side by '-1'. q = -3 Simplifying q = -3
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