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Simplifying 2(4c + 3) = 27 + 5c Reorder the terms: 2(3 + 4c) = 27 + 5c (3 * 2 + 4c * 2) = 27 + 5c (6 + 8c) = 27 + 5c Solving 6 + 8c = 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. 6 + 8c + -5c = 27 + 5c + -5c Combine like terms: 8c + -5c = 3c 6 + 3c = 27 + 5c + -5c Combine like terms: 5c + -5c = 0 6 + 3c = 27 + 0 6 + 3c = 27 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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