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Simplifying 5c + 3 + 2c = 19 + 4c + 5 Reorder the terms: 3 + 5c + 2c = 19 + 4c + 5 Combine like terms: 5c + 2c = 7c 3 + 7c = 19 + 4c + 5 Reorder the terms: 3 + 7c = 19 + 5 + 4c Combine like terms: 19 + 5 = 24 3 + 7c = 24 + 4c Solving 3 + 7c = 24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 3 + 7c + -4c = 24 + 4c + -4c Combine like terms: 7c + -4c = 3c 3 + 3c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 3 + 3c = 24 + 0 3 + 3c = 24 Add '-3' to each side of the equation. 3 + -3 + 3c = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3c = 24 + -3 3c = 24 + -3 Combine like terms: 24 + -3 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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