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Simplifying -2(q + -4) = 3q + 12 Reorder the terms: -2(-4 + q) = 3q + 12 (-4 * -2 + q * -2) = 3q + 12 (8 + -2q) = 3q + 12 Reorder the terms: 8 + -2q = 12 + 3q Solving 8 + -2q = 12 + 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. 8 + -2q + -3q = 12 + 3q + -3q Combine like terms: -2q + -3q = -5q 8 + -5q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 8 + -5q = 12 + 0 8 + -5q = 12 Add '-8' to each side of the equation. 8 + -8 + -5q = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -5q = 12 + -8 -5q = 12 + -8 Combine like terms: 12 + -8 = 4 -5q = 4 Divide each side by '-5'. q = -0.8 Simplifying q = -0.8
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