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Simplifying 3c + 8 + c = 13 + -1c + 24 Reorder the terms: 8 + 3c + c = 13 + -1c + 24 Combine like terms: 3c + c = 4c 8 + 4c = 13 + -1c + 24 Reorder the terms: 8 + 4c = 13 + 24 + -1c Combine like terms: 13 + 24 = 37 8 + 4c = 37 + -1c Solving 8 + 4c = 37 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 8 + 4c + c = 37 + -1c + c Combine like terms: 4c + c = 5c 8 + 5c = 37 + -1c + c Combine like terms: -1c + c = 0 8 + 5c = 37 + 0 8 + 5c = 37 Add '-8' to each side of the equation. 8 + -8 + 5c = 37 + -8 Combine like terms: 8 + -8 = 0 0 + 5c = 37 + -8 5c = 37 + -8 Combine like terms: 37 + -8 = 29 5c = 29 Divide each side by '5'. c = 5.8 Simplifying c = 5.8
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