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