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Simplifying 7c + 1 = 5c + 13 Reorder the terms: 1 + 7c = 5c + 13 Reorder the terms: 1 + 7c = 13 + 5c Solving 1 + 7c = 13 + 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. 1 + 7c + -5c = 13 + 5c + -5c Combine like terms: 7c + -5c = 2c 1 + 2c = 13 + 5c + -5c Combine like terms: 5c + -5c = 0 1 + 2c = 13 + 0 1 + 2c = 13 Add '-1' to each side of the equation. 1 + -1 + 2c = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 13 + -1 2c = 13 + -1 Combine like terms: 13 + -1 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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