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Simplifying 15 + 7c = 5c + 31 Reorder the terms: 15 + 7c = 31 + 5c Solving 15 + 7c = 31 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 15 + 7c + -5c = 31 + 5c + -5c Combine like terms: 7c + -5c = 2c 15 + 2c = 31 + 5c + -5c Combine like terms: 5c + -5c = 0 15 + 2c = 31 + 0 15 + 2c = 31 Add '-15' to each side of the equation. 15 + -15 + 2c = 31 + -15 Combine like terms: 15 + -15 = 0 0 + 2c = 31 + -15 2c = 31 + -15 Combine like terms: 31 + -15 = 16 2c = 16 Divide each side by '2'. c = 8 Simplifying c = 8
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