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Simplifying 9q + 9(3q + -8) = -9(-5q + 2) Reorder the terms: 9q + 9(-8 + 3q) = -9(-5q + 2) 9q + (-8 * 9 + 3q * 9) = -9(-5q + 2) 9q + (-72 + 27q) = -9(-5q + 2) Reorder the terms: -72 + 9q + 27q = -9(-5q + 2) Combine like terms: 9q + 27q = 36q -72 + 36q = -9(-5q + 2) Reorder the terms: -72 + 36q = -9(2 + -5q) -72 + 36q = (2 * -9 + -5q * -9) -72 + 36q = (-18 + 45q) Solving -72 + 36q = -18 + 45q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-45q' to each side of the equation. -72 + 36q + -45q = -18 + 45q + -45q Combine like terms: 36q + -45q = -9q -72 + -9q = -18 + 45q + -45q Combine like terms: 45q + -45q = 0 -72 + -9q = -18 + 0 -72 + -9q = -18 Add '72' to each side of the equation. -72 + 72 + -9q = -18 + 72 Combine like terms: -72 + 72 = 0 0 + -9q = -18 + 72 -9q = -18 + 72 Combine like terms: -18 + 72 = 54 -9q = 54 Divide each side by '-9'. q = -6 Simplifying q = -6
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