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Simplifying 3q + 2(1 + -1q) = 2q + 5(1 + -1q) 3q + (1 * 2 + -1q * 2) = 2q + 5(1 + -1q) 3q + (2 + -2q) = 2q + 5(1 + -1q) Reorder the terms: 2 + 3q + -2q = 2q + 5(1 + -1q) Combine like terms: 3q + -2q = 1q 2 + 1q = 2q + 5(1 + -1q) 2 + 1q = 2q + (1 * 5 + -1q * 5) 2 + 1q = 2q + (5 + -5q) Reorder the terms: 2 + 1q = 5 + 2q + -5q Combine like terms: 2q + -5q = -3q 2 + 1q = 5 + -3q Solving 2 + 1q = 5 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 2 + 1q + 3q = 5 + -3q + 3q Combine like terms: 1q + 3q = 4q 2 + 4q = 5 + -3q + 3q Combine like terms: -3q + 3q = 0 2 + 4q = 5 + 0 2 + 4q = 5 Add '-2' to each side of the equation. 2 + -2 + 4q = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 4q = 5 + -2 4q = 5 + -2 Combine like terms: 5 + -2 = 3 4q = 3 Divide each side by '4'. q = 0.75 Simplifying q = 0.75
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