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Simplifying 11(9c + -1) + -8 = 97c + 11 Reorder the terms: 11(-1 + 9c) + -8 = 97c + 11 (-1 * 11 + 9c * 11) + -8 = 97c + 11 (-11 + 99c) + -8 = 97c + 11 Reorder the terms: -11 + -8 + 99c = 97c + 11 Combine like terms: -11 + -8 = -19 -19 + 99c = 97c + 11 Reorder the terms: -19 + 99c = 11 + 97c Solving -19 + 99c = 11 + 97c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-97c' to each side of the equation. -19 + 99c + -97c = 11 + 97c + -97c Combine like terms: 99c + -97c = 2c -19 + 2c = 11 + 97c + -97c Combine like terms: 97c + -97c = 0 -19 + 2c = 11 + 0 -19 + 2c = 11 Add '19' to each side of the equation. -19 + 19 + 2c = 11 + 19 Combine like terms: -19 + 19 = 0 0 + 2c = 11 + 19 2c = 11 + 19 Combine like terms: 11 + 19 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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