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Simplifying 2(7c + 1) + -27 = 11c + 2 Reorder the terms: 2(1 + 7c) + -27 = 11c + 2 (1 * 2 + 7c * 2) + -27 = 11c + 2 (2 + 14c) + -27 = 11c + 2 Reorder the terms: 2 + -27 + 14c = 11c + 2 Combine like terms: 2 + -27 = -25 -25 + 14c = 11c + 2 Reorder the terms: -25 + 14c = 2 + 11c Solving -25 + 14c = 2 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. -25 + 14c + -11c = 2 + 11c + -11c Combine like terms: 14c + -11c = 3c -25 + 3c = 2 + 11c + -11c Combine like terms: 11c + -11c = 0 -25 + 3c = 2 + 0 -25 + 3c = 2 Add '25' to each side of the equation. -25 + 25 + 3c = 2 + 25 Combine like terms: -25 + 25 = 0 0 + 3c = 2 + 25 3c = 2 + 25 Combine like terms: 2 + 25 = 27 3c = 27 Divide each side by '3'. c = 9 Simplifying c = 9
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