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Simplifying 2c + 6 = 3c + 2 Reorder the terms: 6 + 2c = 3c + 2 Reorder the terms: 6 + 2c = 2 + 3c Solving 6 + 2c = 2 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 6 + 2c + -3c = 2 + 3c + -3c Combine like terms: 2c + -3c = -1c 6 + -1c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 6 + -1c = 2 + 0 6 + -1c = 2 Add '-6' to each side of the equation. 6 + -6 + -1c = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 2 + -6 -1c = 2 + -6 Combine like terms: 2 + -6 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4
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