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Simplifying 3c + 1 = c + 9 Reorder the terms: 1 + 3c = c + 9 Reorder the terms: 1 + 3c = 9 + c Solving 1 + 3c = 9 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 1 + 3c + -1c = 9 + c + -1c Combine like terms: 3c + -1c = 2c 1 + 2c = 9 + c + -1c Combine like terms: c + -1c = 0 1 + 2c = 9 + 0 1 + 2c = 9 Add '-1' to each side of the equation. 1 + -1 + 2c = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2c = 9 + -1 2c = 9 + -1 Combine like terms: 9 + -1 = 8 2c = 8 Divide each side by '2'. c = 4 Simplifying c = 4
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