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