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Simplifying 12(2q + 4) = 20(q + -3) Reorder the terms: 12(4 + 2q) = 20(q + -3) (4 * 12 + 2q * 12) = 20(q + -3) (48 + 24q) = 20(q + -3) Reorder the terms: 48 + 24q = 20(-3 + q) 48 + 24q = (-3 * 20 + q * 20) 48 + 24q = (-60 + 20q) Solving 48 + 24q = -60 + 20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-20q' to each side of the equation. 48 + 24q + -20q = -60 + 20q + -20q Combine like terms: 24q + -20q = 4q 48 + 4q = -60 + 20q + -20q Combine like terms: 20q + -20q = 0 48 + 4q = -60 + 0 48 + 4q = -60 Add '-48' to each side of the equation. 48 + -48 + 4q = -60 + -48 Combine like terms: 48 + -48 = 0 0 + 4q = -60 + -48 4q = -60 + -48 Combine like terms: -60 + -48 = -108 4q = -108 Divide each side by '4'. q = -27 Simplifying q = -27
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