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Simplifying 11(7c + -1) + -16 = 75c + 11 Reorder the terms: 11(-1 + 7c) + -16 = 75c + 11 (-1 * 11 + 7c * 11) + -16 = 75c + 11 (-11 + 77c) + -16 = 75c + 11 Reorder the terms: -11 + -16 + 77c = 75c + 11 Combine like terms: -11 + -16 = -27 -27 + 77c = 75c + 11 Reorder the terms: -27 + 77c = 11 + 75c Solving -27 + 77c = 11 + 75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-75c' to each side of the equation. -27 + 77c + -75c = 11 + 75c + -75c Combine like terms: 77c + -75c = 2c -27 + 2c = 11 + 75c + -75c Combine like terms: 75c + -75c = 0 -27 + 2c = 11 + 0 -27 + 2c = 11 Add '27' to each side of the equation. -27 + 27 + 2c = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 11 + 27 2c = 11 + 27 Combine like terms: 11 + 27 = 38 2c = 38 Divide each side by '2'. c = 19 Simplifying c = 19
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