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Simplifying 4(q + 1) = -12(5 + -1x) Reorder the terms: 4(1 + q) = -12(5 + -1x) (1 * 4 + q * 4) = -12(5 + -1x) (4 + 4q) = -12(5 + -1x) 4 + 4q = (5 * -12 + -1x * -12) 4 + 4q = (-60 + 12x) Solving 4 + 4q = -60 + 12x Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 4q = -60 + -4 + 12x Combine like terms: 4 + -4 = 0 0 + 4q = -60 + -4 + 12x 4q = -60 + -4 + 12x Combine like terms: -60 + -4 = -64 4q = -64 + 12x Divide each side by '4'. q = -16 + 3x Simplifying q = -16 + 3x
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