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Simplifying 9(5c + -1) + -16 = 43c + 9 Reorder the terms: 9(-1 + 5c) + -16 = 43c + 9 (-1 * 9 + 5c * 9) + -16 = 43c + 9 (-9 + 45c) + -16 = 43c + 9 Reorder the terms: -9 + -16 + 45c = 43c + 9 Combine like terms: -9 + -16 = -25 -25 + 45c = 43c + 9 Reorder the terms: -25 + 45c = 9 + 43c Solving -25 + 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. -25 + 45c + -43c = 9 + 43c + -43c Combine like terms: 45c + -43c = 2c -25 + 2c = 9 + 43c + -43c Combine like terms: 43c + -43c = 0 -25 + 2c = 9 + 0 -25 + 2c = 9 Add '25' to each side of the equation. -25 + 25 + 2c = 9 + 25 Combine like terms: -25 + 25 = 0 0 + 2c = 9 + 25 2c = 9 + 25 Combine like terms: 9 + 25 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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