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Simplifying 24 = -4(q + 6) Reorder the terms: 24 = -4(6 + q) 24 = (6 * -4 + q * -4) 24 = (-24 + -4q) Solving 24 = -24 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 24 + 4q = -24 + -4q + 4q Combine like terms: -4q + 4q = 0 24 + 4q = -24 + 0 24 + 4q = -24 Add '-24' to each side of the equation. 24 + -24 + 4q = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 4q = -24 + -24 4q = -24 + -24 Combine like terms: -24 + -24 = -48 4q = -48 Divide each side by '4'. q = -12 Simplifying q = -12
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