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Simplifying 4(-1 + -2q) = 3(12 + -1q) (-1 * 4 + -2q * 4) = 3(12 + -1q) (-4 + -8q) = 3(12 + -1q) -4 + -8q = (12 * 3 + -1q * 3) -4 + -8q = (36 + -3q) Solving -4 + -8q = 36 + -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. -4 + -8q + 3q = 36 + -3q + 3q Combine like terms: -8q + 3q = -5q -4 + -5q = 36 + -3q + 3q Combine like terms: -3q + 3q = 0 -4 + -5q = 36 + 0 -4 + -5q = 36 Add '4' to each side of the equation. -4 + 4 + -5q = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -5q = 36 + 4 -5q = 36 + 4 Combine like terms: 36 + 4 = 40 -5q = 40 Divide each side by '-5'. q = -8 Simplifying q = -8
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