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Simplifying 3(q + 1) + -1(q + 1) = 6 Reorder the terms: 3(1 + q) + -1(q + 1) = 6 (1 * 3 + q * 3) + -1(q + 1) = 6 (3 + 3q) + -1(q + 1) = 6 Reorder the terms: 3 + 3q + -1(1 + q) = 6 3 + 3q + (1 * -1 + q * -1) = 6 3 + 3q + (-1 + -1q) = 6 Reorder the terms: 3 + -1 + 3q + -1q = 6 Combine like terms: 3 + -1 = 2 2 + 3q + -1q = 6 Combine like terms: 3q + -1q = 2q 2 + 2q = 6 Solving 2 + 2q = 6 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2q = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2q = 6 + -2 2q = 6 + -2 Combine like terms: 6 + -2 = 4 2q = 4 Divide each side by '2'. q = 2 Simplifying q = 2
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