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Simplifying 7(c + 3) = 5c + 27 Reorder the terms: 7(3 + c) = 5c + 27 (3 * 7 + c * 7) = 5c + 27 (21 + 7c) = 5c + 27 Reorder the terms: 21 + 7c = 27 + 5c Solving 21 + 7c = 27 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 21 + 7c + -5c = 27 + 5c + -5c Combine like terms: 7c + -5c = 2c 21 + 2c = 27 + 5c + -5c Combine like terms: 5c + -5c = 0 21 + 2c = 27 + 0 21 + 2c = 27 Add '-21' to each side of the equation. 21 + -21 + 2c = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 2c = 27 + -21 2c = 27 + -21 Combine like terms: 27 + -21 = 6 2c = 6 Divide each side by '2'. c = 3 Simplifying c = 3
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