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Simplifying 1c + (c + 2) + (c + 4) = 27 Reorder the terms: 1c + (2 + c) + (c + 4) = 27 Remove parenthesis around (2 + c) 1c + 2 + c + (c + 4) = 27 Reorder the terms: 1c + 2 + c + (4 + c) = 27 Remove parenthesis around (4 + c) 1c + 2 + c + 4 + c = 27 Reorder the terms: 2 + 4 + 1c + c + c = 27 Combine like terms: 2 + 4 = 6 6 + 1c + c + c = 27 Combine like terms: 1c + c = 2c 6 + 2c + c = 27 Combine like terms: 2c + c = 3c 6 + 3c = 27 Solving 6 + 3c = 27 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3c = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3c = 27 + -6 3c = 27 + -6 Combine like terms: 27 + -6 = 21 3c = 21 Divide each side by '3'. c = 7 Simplifying c = 7
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