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Simplifying 6q + 3(1 + -1q) = 3q + 8(1 + -1q) 6q + (1 * 3 + -1q * 3) = 3q + 8(1 + -1q) 6q + (3 + -3q) = 3q + 8(1 + -1q) Reorder the terms: 3 + 6q + -3q = 3q + 8(1 + -1q) Combine like terms: 6q + -3q = 3q 3 + 3q = 3q + 8(1 + -1q) 3 + 3q = 3q + (1 * 8 + -1q * 8) 3 + 3q = 3q + (8 + -8q) Reorder the terms: 3 + 3q = 8 + 3q + -8q Combine like terms: 3q + -8q = -5q 3 + 3q = 8 + -5q Solving 3 + 3q = 8 + -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 + 3q + 5q = 8 + -5q + 5q Combine like terms: 3q + 5q = 8q 3 + 8q = 8 + -5q + 5q Combine like terms: -5q + 5q = 0 3 + 8q = 8 + 0 3 + 8q = 8 Add '-3' to each side of the equation. 3 + -3 + 8q = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 8q = 8 + -3 8q = 8 + -3 Combine like terms: 8 + -3 = 5 8q = 5 Divide each side by '8'. q = 0.625 Simplifying q = 0.625
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