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Simplifying 27 = -3(q + 6) Reorder the terms: 27 = -3(6 + q) 27 = (6 * -3 + q * -3) 27 = (-18 + -3q) Solving 27 = -18 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 27 + 3q = -18 + -3q + 3q Combine like terms: -3q + 3q = 0 27 + 3q = -18 + 0 27 + 3q = -18 Add '-27' to each side of the equation. 27 + -27 + 3q = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 3q = -18 + -27 3q = -18 + -27 Combine like terms: -18 + -27 = -45 3q = -45 Divide each side by '3'. q = -15 Simplifying q = -15
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