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Simplifying -5(q + -9) = 2(3q + -10) Reorder the terms: -5(-9 + q) = 2(3q + -10) (-9 * -5 + q * -5) = 2(3q + -10) (45 + -5q) = 2(3q + -10) Reorder the terms: 45 + -5q = 2(-10 + 3q) 45 + -5q = (-10 * 2 + 3q * 2) 45 + -5q = (-20 + 6q) Solving 45 + -5q = -20 + 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. 45 + -5q + -6q = -20 + 6q + -6q Combine like terms: -5q + -6q = -11q 45 + -11q = -20 + 6q + -6q Combine like terms: 6q + -6q = 0 45 + -11q = -20 + 0 45 + -11q = -20 Add '-45' to each side of the equation. 45 + -45 + -11q = -20 + -45 Combine like terms: 45 + -45 = 0 0 + -11q = -20 + -45 -11q = -20 + -45 Combine like terms: -20 + -45 = -65 -11q = -65 Divide each side by '-11'. q = 5.909090909 Simplifying q = 5.909090909
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