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Simplifying 11c + 4(1 + -1c) = 5c + -2 11c + (1 * 4 + -1c * 4) = 5c + -2 11c + (4 + -4c) = 5c + -2 Reorder the terms: 4 + 11c + -4c = 5c + -2 Combine like terms: 11c + -4c = 7c 4 + 7c = 5c + -2 Reorder the terms: 4 + 7c = -2 + 5c Solving 4 + 7c = -2 + 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. 4 + 7c + -5c = -2 + 5c + -5c Combine like terms: 7c + -5c = 2c 4 + 2c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + 2c = -2 + 0 4 + 2c = -2 Add '-4' to each side of the equation. 4 + -4 + 2c = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2c = -2 + -4 2c = -2 + -4 Combine like terms: -2 + -4 = -6 2c = -6 Divide each side by '2'. c = -3 Simplifying c = -3
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