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Simplifying 11(4c + -1) + -18 = 42c + 11 Reorder the terms: 11(-1 + 4c) + -18 = 42c + 11 (-1 * 11 + 4c * 11) + -18 = 42c + 11 (-11 + 44c) + -18 = 42c + 11 Reorder the terms: -11 + -18 + 44c = 42c + 11 Combine like terms: -11 + -18 = -29 -29 + 44c = 42c + 11 Reorder the terms: -29 + 44c = 11 + 42c Solving -29 + 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. -29 + 44c + -42c = 11 + 42c + -42c Combine like terms: 44c + -42c = 2c -29 + 2c = 11 + 42c + -42c Combine like terms: 42c + -42c = 0 -29 + 2c = 11 + 0 -29 + 2c = 11 Add '29' to each side of the equation. -29 + 29 + 2c = 11 + 29 Combine like terms: -29 + 29 = 0 0 + 2c = 11 + 29 2c = 11 + 29 Combine like terms: 11 + 29 = 40 2c = 40 Divide each side by '2'. c = 20 Simplifying c = 20
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