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Simplifying 11c + 24 + -3c = 3c + 49 Reorder the terms: 24 + 11c + -3c = 3c + 49 Combine like terms: 11c + -3c = 8c 24 + 8c = 3c + 49 Reorder the terms: 24 + 8c = 49 + 3c Solving 24 + 8c = 49 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 24 + 8c + -3c = 49 + 3c + -3c Combine like terms: 8c + -3c = 5c 24 + 5c = 49 + 3c + -3c Combine like terms: 3c + -3c = 0 24 + 5c = 49 + 0 24 + 5c = 49 Add '-24' to each side of the equation. 24 + -24 + 5c = 49 + -24 Combine like terms: 24 + -24 = 0 0 + 5c = 49 + -24 5c = 49 + -24 Combine like terms: 49 + -24 = 25 5c = 25 Divide each side by '5'. c = 5 Simplifying c = 5
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