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Simplifying 2q + 5(1 + -1q) = 5q + 2(1 + -1q) 2q + (1 * 5 + -1q * 5) = 5q + 2(1 + -1q) 2q + (5 + -5q) = 5q + 2(1 + -1q) Reorder the terms: 5 + 2q + -5q = 5q + 2(1 + -1q) Combine like terms: 2q + -5q = -3q 5 + -3q = 5q + 2(1 + -1q) 5 + -3q = 5q + (1 * 2 + -1q * 2) 5 + -3q = 5q + (2 + -2q) Reorder the terms: 5 + -3q = 2 + 5q + -2q Combine like terms: 5q + -2q = 3q 5 + -3q = 2 + 3q Solving 5 + -3q = 2 + 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. 5 + -3q + -3q = 2 + 3q + -3q Combine like terms: -3q + -3q = -6q 5 + -6q = 2 + 3q + -3q Combine like terms: 3q + -3q = 0 5 + -6q = 2 + 0 5 + -6q = 2 Add '-5' to each side of the equation. 5 + -5 + -6q = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -6q = 2 + -5 -6q = 2 + -5 Combine like terms: 2 + -5 = -3 -6q = -3 Divide each side by '-6'. q = 0.5 Simplifying q = 0.5
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