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