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Simplifying 3c + 2 = 2c + 7 Reorder the terms: 2 + 3c = 2c + 7 Reorder the terms: 2 + 3c = 7 + 2c Solving 2 + 3c = 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. 2 + 3c + -2c = 7 + 2c + -2c Combine like terms: 3c + -2c = 1c 2 + 1c = 7 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + 1c = 7 + 0 2 + 1c = 7 Add '-2' to each side of the equation. 2 + -2 + 1c = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 1c = 7 + -2 1c = 7 + -2 Combine like terms: 7 + -2 = 5 1c = 5 Divide each side by '1'. c = 5 Simplifying c = 5
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