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Simplifying 5c + 2 + -2c = 7c + -5c + 6 Reorder the terms: 2 + 5c + -2c = 7c + -5c + 6 Combine like terms: 5c + -2c = 3c 2 + 3c = 7c + -5c + 6 Reorder the terms: 2 + 3c = 6 + 7c + -5c Combine like terms: 7c + -5c = 2c 2 + 3c = 6 + 2c Solving 2 + 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. 2 + 3c + -2c = 6 + 2c + -2c Combine like terms: 3c + -2c = 1c 2 + 1c = 6 + 2c + -2c Combine like terms: 2c + -2c = 0 2 + 1c = 6 + 0 2 + 1c = 6 Add '-2' to each side of the equation. 2 + -2 + 1c = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1c = 6 + -2 1c = 6 + -2 Combine like terms: 6 + -2 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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