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Simplifying 3(c + 2) = c + 8 Reorder the terms: 3(2 + c) = c + 8 (2 * 3 + c * 3) = c + 8 (6 + 3c) = c + 8 Reorder the terms: 6 + 3c = 8 + c Solving 6 + 3c = 8 + 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. 6 + 3c + -1c = 8 + c + -1c Combine like terms: 3c + -1c = 2c 6 + 2c = 8 + c + -1c Combine like terms: c + -1c = 0 6 + 2c = 8 + 0 6 + 2c = 8 Add '-6' to each side of the equation. 6 + -6 + 2c = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2c = 8 + -6 2c = 8 + -6 Combine like terms: 8 + -6 = 2 2c = 2 Divide each side by '2'. c = 1 Simplifying c = 1
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