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Simplifying 1q + 4(1 + -1q) = -2q + 3(1 + -1q) 1q + (1 * 4 + -1q * 4) = -2q + 3(1 + -1q) 1q + (4 + -4q) = -2q + 3(1 + -1q) Reorder the terms: 4 + 1q + -4q = -2q + 3(1 + -1q) Combine like terms: 1q + -4q = -3q 4 + -3q = -2q + 3(1 + -1q) 4 + -3q = -2q + (1 * 3 + -1q * 3) 4 + -3q = -2q + (3 + -3q) Reorder the terms: 4 + -3q = 3 + -2q + -3q Combine like terms: -2q + -3q = -5q 4 + -3q = 3 + -5q Solving 4 + -3q = 3 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. 4 + -3q + 5q = 3 + -5q + 5q Combine like terms: -3q + 5q = 2q 4 + 2q = 3 + -5q + 5q Combine like terms: -5q + 5q = 0 4 + 2q = 3 + 0 4 + 2q = 3 Add '-4' to each side of the equation. 4 + -4 + 2q = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 2q = 3 + -4 2q = 3 + -4 Combine like terms: 3 + -4 = -1 2q = -1 Divide each side by '2'. q = -0.5 Simplifying q = -0.5
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