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Simplifying 1 + 4c = 7 + 2c Solving 1 + 4c = 7 + 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 = 7 + 2c + -2c Combine like terms: 4c + -2c = 2c 1 + 2c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 1 + 2c = 7 + 0 1 + 2c = 7 Add '-1' to each side of the equation. 1 + -1 + 2c = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 7 + -1 2c = 7 + -1 Combine like terms: 7 + -1 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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