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Simplifying 2q + (-3)(1 + -1q) = -3q + 2(1 + -1q) 2q + (1 * -3 + -1q * -3) = -3q + 2(1 + -1q) 2q + (-3 + 3q) = -3q + 2(1 + -1q) Reorder the terms: -3 + 2q + 3q = -3q + 2(1 + -1q) Combine like terms: 2q + 3q = 5q -3 + 5q = -3q + 2(1 + -1q) -3 + 5q = -3q + (1 * 2 + -1q * 2) -3 + 5q = -3q + (2 + -2q) Reorder the terms: -3 + 5q = 2 + -3q + -2q Combine like terms: -3q + -2q = -5q -3 + 5q = 2 + -5q Solving -3 + 5q = 2 + -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. -3 + 5q + 5q = 2 + -5q + 5q Combine like terms: 5q + 5q = 10q -3 + 10q = 2 + -5q + 5q Combine like terms: -5q + 5q = 0 -3 + 10q = 2 + 0 -3 + 10q = 2 Add '3' to each side of the equation. -3 + 3 + 10q = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 10q = 2 + 3 10q = 2 + 3 Combine like terms: 2 + 3 = 5 10q = 5 Divide each side by '10'. q = 0.5 Simplifying q = 0.5
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