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Simplifying 3(2c + 2) + 2 = 11c + -74 Reorder the terms: 3(2 + 2c) + 2 = 11c + -74 (2 * 3 + 2c * 3) + 2 = 11c + -74 (6 + 6c) + 2 = 11c + -74 Reorder the terms: 6 + 2 + 6c = 11c + -74 Combine like terms: 6 + 2 = 8 8 + 6c = 11c + -74 Reorder the terms: 8 + 6c = -74 + 11c Solving 8 + 6c = -74 + 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. 8 + 6c + -11c = -74 + 11c + -11c Combine like terms: 6c + -11c = -5c 8 + -5c = -74 + 11c + -11c Combine like terms: 11c + -11c = 0 8 + -5c = -74 + 0 8 + -5c = -74 Add '-8' to each side of the equation. 8 + -8 + -5c = -74 + -8 Combine like terms: 8 + -8 = 0 0 + -5c = -74 + -8 -5c = -74 + -8 Combine like terms: -74 + -8 = -82 -5c = -82 Divide each side by '-5'. c = 16.4 Simplifying c = 16.4
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