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Simplifying 13c + 4 = 9c + -20 + c Reorder the terms: 4 + 13c = 9c + -20 + c Reorder the terms: 4 + 13c = -20 + 9c + c Combine like terms: 9c + c = 10c 4 + 13c = -20 + 10c Solving 4 + 13c = -20 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 4 + 13c + -10c = -20 + 10c + -10c Combine like terms: 13c + -10c = 3c 4 + 3c = -20 + 10c + -10c Combine like terms: 10c + -10c = 0 4 + 3c = -20 + 0 4 + 3c = -20 Add '-4' to each side of the equation. 4 + -4 + 3c = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 3c = -20 + -4 3c = -20 + -4 Combine like terms: -20 + -4 = -24 3c = -24 Divide each side by '3'. c = -8 Simplifying c = -8
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