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Simplifying 3c + 1 = 2c + 5 Reorder the terms: 1 + 3c = 2c + 5 Reorder the terms: 1 + 3c = 5 + 2c Solving 1 + 3c = 5 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 1 + 3c + -2c = 5 + 2c + -2c Combine like terms: 3c + -2c = 1c 1 + 1c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 1c = 5 + 0 1 + 1c = 5 Add '-1' to each side of the equation. 1 + -1 + 1c = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 1c = 5 + -1 1c = 5 + -1 Combine like terms: 5 + -1 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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