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Simplifying 5c + 5 + 2c = 4c + 10 Reorder the terms: 5 + 5c + 2c = 4c + 10 Combine like terms: 5c + 2c = 7c 5 + 7c = 4c + 10 Reorder the terms: 5 + 7c = 10 + 4c Solving 5 + 7c = 10 + 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. 5 + 7c + -4c = 10 + 4c + -4c Combine like terms: 7c + -4c = 3c 5 + 3c = 10 + 4c + -4c Combine like terms: 4c + -4c = 0 5 + 3c = 10 + 0 5 + 3c = 10 Add '-5' to each side of the equation. 5 + -5 + 3c = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 3c = 10 + -5 3c = 10 + -5 Combine like terms: 10 + -5 = 5 3c = 5 Divide each side by '3'. c = 1.666666667 Simplifying c = 1.666666667
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