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Simplifying 9(5c + -1) + -18 = 43c + 9 Reorder the terms: 9(-1 + 5c) + -18 = 43c + 9 (-1 * 9 + 5c * 9) + -18 = 43c + 9 (-9 + 45c) + -18 = 43c + 9 Reorder the terms: -9 + -18 + 45c = 43c + 9 Combine like terms: -9 + -18 = -27 -27 + 45c = 43c + 9 Reorder the terms: -27 + 45c = 9 + 43c Solving -27 + 45c = 9 + 43c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-43c' to each side of the equation. -27 + 45c + -43c = 9 + 43c + -43c Combine like terms: 45c + -43c = 2c -27 + 2c = 9 + 43c + -43c Combine like terms: 43c + -43c = 0 -27 + 2c = 9 + 0 -27 + 2c = 9 Add '27' to each side of the equation. -27 + 27 + 2c = 9 + 27 Combine like terms: -27 + 27 = 0 0 + 2c = 9 + 27 2c = 9 + 27 Combine like terms: 9 + 27 = 36 2c = 36 Divide each side by '2'. c = 18 Simplifying c = 18
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