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Simplifying -4q + 3(1 + -1q) = -3q + -5(1 + -1q) -4q + (1 * 3 + -1q * 3) = -3q + -5(1 + -1q) -4q + (3 + -3q) = -3q + -5(1 + -1q) Reorder the terms: 3 + -4q + -3q = -3q + -5(1 + -1q) Combine like terms: -4q + -3q = -7q 3 + -7q = -3q + -5(1 + -1q) 3 + -7q = -3q + (1 * -5 + -1q * -5) 3 + -7q = -3q + (-5 + 5q) Reorder the terms: 3 + -7q = -5 + -3q + 5q Combine like terms: -3q + 5q = 2q 3 + -7q = -5 + 2q Solving 3 + -7q = -5 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 3 + -7q + -2q = -5 + 2q + -2q Combine like terms: -7q + -2q = -9q 3 + -9q = -5 + 2q + -2q Combine like terms: 2q + -2q = 0 3 + -9q = -5 + 0 3 + -9q = -5 Add '-3' to each side of the equation. 3 + -3 + -9q = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -9q = -5 + -3 -9q = -5 + -3 Combine like terms: -5 + -3 = -8 -9q = -8 Divide each side by '-9'. q = 0.8888888889 Simplifying q = 0.8888888889
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