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Simplifying -3(q + -3) = 4(5 + -1q) Reorder the terms: -3(-3 + q) = 4(5 + -1q) (-3 * -3 + q * -3) = 4(5 + -1q) (9 + -3q) = 4(5 + -1q) 9 + -3q = (5 * 4 + -1q * 4) 9 + -3q = (20 + -4q) Solving 9 + -3q = 20 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 9 + -3q + 4q = 20 + -4q + 4q Combine like terms: -3q + 4q = 1q 9 + 1q = 20 + -4q + 4q Combine like terms: -4q + 4q = 0 9 + 1q = 20 + 0 9 + 1q = 20 Add '-9' to each side of the equation. 9 + -9 + 1q = 20 + -9 Combine like terms: 9 + -9 = 0 0 + 1q = 20 + -9 1q = 20 + -9 Combine like terms: 20 + -9 = 11 1q = 11 Divide each side by '1'. q = 11 Simplifying q = 11
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