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Simplifying 5(4c + 6) = -20 + 8c Reorder the terms: 5(6 + 4c) = -20 + 8c (6 * 5 + 4c * 5) = -20 + 8c (30 + 20c) = -20 + 8c Solving 30 + 20c = -20 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 30 + 20c + -8c = -20 + 8c + -8c Combine like terms: 20c + -8c = 12c 30 + 12c = -20 + 8c + -8c Combine like terms: 8c + -8c = 0 30 + 12c = -20 + 0 30 + 12c = -20 Add '-30' to each side of the equation. 30 + -30 + 12c = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 12c = -20 + -30 12c = -20 + -30 Combine like terms: -20 + -30 = -50 12c = -50 Divide each side by '12'. c = -4.166666667 Simplifying c = -4.166666667
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