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Simplifying 2 + -3(q + -1) = 10 + -1(q + 1) Reorder the terms: 2 + -3(-1 + q) = 10 + -1(q + 1) 2 + (-1 * -3 + q * -3) = 10 + -1(q + 1) 2 + (3 + -3q) = 10 + -1(q + 1) Combine like terms: 2 + 3 = 5 5 + -3q = 10 + -1(q + 1) Reorder the terms: 5 + -3q = 10 + -1(1 + q) 5 + -3q = 10 + (1 * -1 + q * -1) 5 + -3q = 10 + (-1 + -1q) Combine like terms: 10 + -1 = 9 5 + -3q = 9 + -1q Solving 5 + -3q = 9 + -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. 5 + -3q + q = 9 + -1q + q Combine like terms: -3q + q = -2q 5 + -2q = 9 + -1q + q Combine like terms: -1q + q = 0 5 + -2q = 9 + 0 5 + -2q = 9 Add '-5' to each side of the equation. 5 + -5 + -2q = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 9 + -5 -2q = 9 + -5 Combine like terms: 9 + -5 = 4 -2q = 4 Divide each side by '-2'. q = -2 Simplifying q = -2
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