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Simplifying 11(7c + -1) + -4 = 75c + 11 Reorder the terms: 11(-1 + 7c) + -4 = 75c + 11 (-1 * 11 + 7c * 11) + -4 = 75c + 11 (-11 + 77c) + -4 = 75c + 11 Reorder the terms: -11 + -4 + 77c = 75c + 11 Combine like terms: -11 + -4 = -15 -15 + 77c = 75c + 11 Reorder the terms: -15 + 77c = 11 + 75c Solving -15 + 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. -15 + 77c + -75c = 11 + 75c + -75c Combine like terms: 77c + -75c = 2c -15 + 2c = 11 + 75c + -75c Combine like terms: 75c + -75c = 0 -15 + 2c = 11 + 0 -15 + 2c = 11 Add '15' to each side of the equation. -15 + 15 + 2c = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 2c = 11 + 15 2c = 11 + 15 Combine like terms: 11 + 15 = 26 2c = 26 Divide each side by '2'. c = 13 Simplifying c = 13
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