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Simplifying 3c + -5d = c + 2 Reorder the terms: 3c + -5d = 2 + c Solving 3c + -5d = 2 + 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. 3c + -1c + -5d = 2 + c + -1c Combine like terms: 3c + -1c = 2c 2c + -5d = 2 + c + -1c Combine like terms: c + -1c = 0 2c + -5d = 2 + 0 2c + -5d = 2 Add '5d' to each side of the equation. 2c + -5d + 5d = 2 + 5d Combine like terms: -5d + 5d = 0 2c + 0 = 2 + 5d 2c = 2 + 5d Divide each side by '2'. c = 1 + 2.5d Simplifying c = 1 + 2.5d
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