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Simplifying 13c + 40 = 9c + -30 + c Reorder the terms: 40 + 13c = 9c + -30 + c Reorder the terms: 40 + 13c = -30 + 9c + c Combine like terms: 9c + c = 10c 40 + 13c = -30 + 10c Solving 40 + 13c = -30 + 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. 40 + 13c + -10c = -30 + 10c + -10c Combine like terms: 13c + -10c = 3c 40 + 3c = -30 + 10c + -10c Combine like terms: 10c + -10c = 0 40 + 3c = -30 + 0 40 + 3c = -30 Add '-40' to each side of the equation. 40 + -40 + 3c = -30 + -40 Combine like terms: 40 + -40 = 0 0 + 3c = -30 + -40 3c = -30 + -40 Combine like terms: -30 + -40 = -70 3c = -70 Divide each side by '3'. c = -23.33333333 Simplifying c = -23.33333333
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