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Simplifying 6q + -2(1 + -1q) = 1q + 3(1 + -1q) 6q + (1 * -2 + -1q * -2) = 1q + 3(1 + -1q) 6q + (-2 + 2q) = 1q + 3(1 + -1q) Reorder the terms: -2 + 6q + 2q = 1q + 3(1 + -1q) Combine like terms: 6q + 2q = 8q -2 + 8q = 1q + 3(1 + -1q) -2 + 8q = 1q + (1 * 3 + -1q * 3) -2 + 8q = 1q + (3 + -3q) Reorder the terms: -2 + 8q = 3 + 1q + -3q Combine like terms: 1q + -3q = -2q -2 + 8q = 3 + -2q Solving -2 + 8q = 3 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -2 + 8q + 2q = 3 + -2q + 2q Combine like terms: 8q + 2q = 10q -2 + 10q = 3 + -2q + 2q Combine like terms: -2q + 2q = 0 -2 + 10q = 3 + 0 -2 + 10q = 3 Add '2' to each side of the equation. -2 + 2 + 10q = 3 + 2 Combine like terms: -2 + 2 = 0 0 + 10q = 3 + 2 10q = 3 + 2 Combine like terms: 3 + 2 = 5 10q = 5 Divide each side by '10'. q = 0.5 Simplifying q = 0.5
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