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Simplifying 2 + 5c + 2 + -2c = 3 + 2c + 3 Reorder the terms: 2 + 2 + 5c + -2c = 3 + 2c + 3 Combine like terms: 2 + 2 = 4 4 + 5c + -2c = 3 + 2c + 3 Combine like terms: 5c + -2c = 3c 4 + 3c = 3 + 2c + 3 Reorder the terms: 4 + 3c = 3 + 3 + 2c Combine like terms: 3 + 3 = 6 4 + 3c = 6 + 2c Solving 4 + 3c = 6 + 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. 4 + 3c + -2c = 6 + 2c + -2c Combine like terms: 3c + -2c = 1c 4 + 1c = 6 + 2c + -2c Combine like terms: 2c + -2c = 0 4 + 1c = 6 + 0 4 + 1c = 6 Add '-4' to each side of the equation. 4 + -4 + 1c = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1c = 6 + -4 1c = 6 + -4 Combine like terms: 6 + -4 = 2 1c = 2 Divide each side by '1'. c = 2 Simplifying c = 2
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