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Simplifying 5c + 5 = 10 + 3c Reorder the terms: 5 + 5c = 10 + 3c Solving 5 + 5c = 10 + 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. 5 + 5c + -3c = 10 + 3c + -3c Combine like terms: 5c + -3c = 2c 5 + 2c = 10 + 3c + -3c Combine like terms: 3c + -3c = 0 5 + 2c = 10 + 0 5 + 2c = 10 Add '-5' to each side of the equation. 5 + -5 + 2c = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = 10 + -5 2c = 10 + -5 Combine like terms: 10 + -5 = 5 2c = 5 Divide each side by '2'. c = 2.5 Simplifying c = 2.5
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