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Simplifying 3(c + 7) = 8 + 2c Reorder the terms: 3(7 + c) = 8 + 2c (7 * 3 + c * 3) = 8 + 2c (21 + 3c) = 8 + 2c Solving 21 + 3c = 8 + 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. 21 + 3c + -2c = 8 + 2c + -2c Combine like terms: 3c + -2c = 1c 21 + 1c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 21 + 1c = 8 + 0 21 + 1c = 8 Add '-21' to each side of the equation. 21 + -21 + 1c = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1c = 8 + -21 1c = 8 + -21 Combine like terms: 8 + -21 = -13 1c = -13 Divide each side by '1'. c = -13 Simplifying c = -13
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