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Simplifying 11(4c + -1) + -2 = 42c + 11 Reorder the terms: 11(-1 + 4c) + -2 = 42c + 11 (-1 * 11 + 4c * 11) + -2 = 42c + 11 (-11 + 44c) + -2 = 42c + 11 Reorder the terms: -11 + -2 + 44c = 42c + 11 Combine like terms: -11 + -2 = -13 -13 + 44c = 42c + 11 Reorder the terms: -13 + 44c = 11 + 42c Solving -13 + 44c = 11 + 42c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-42c' to each side of the equation. -13 + 44c + -42c = 11 + 42c + -42c Combine like terms: 44c + -42c = 2c -13 + 2c = 11 + 42c + -42c Combine like terms: 42c + -42c = 0 -13 + 2c = 11 + 0 -13 + 2c = 11 Add '13' to each side of the equation. -13 + 13 + 2c = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2c = 11 + 13 2c = 11 + 13 Combine like terms: 11 + 13 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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