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Simplifying 4c + 1 = 2c + 3 Reorder the terms: 1 + 4c = 2c + 3 Reorder the terms: 1 + 4c = 3 + 2c Solving 1 + 4c = 3 + 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 + 4c + -2c = 3 + 2c + -2c Combine like terms: 4c + -2c = 2c 1 + 2c = 3 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 2c = 3 + 0 1 + 2c = 3 Add '-1' to each side of the equation. 1 + -1 + 2c = 3 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 3 + -1 2c = 3 + -1 Combine like terms: 3 + -1 = 2 2c = 2 Divide each side by '2'. c = 1 Simplifying c = 1
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