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Simplifying 5(9c + -1) + -16 = 43c + 15 Reorder the terms: 5(-1 + 9c) + -16 = 43c + 15 (-1 * 5 + 9c * 5) + -16 = 43c + 15 (-5 + 45c) + -16 = 43c + 15 Reorder the terms: -5 + -16 + 45c = 43c + 15 Combine like terms: -5 + -16 = -21 -21 + 45c = 43c + 15 Reorder the terms: -21 + 45c = 15 + 43c Solving -21 + 45c = 15 + 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. -21 + 45c + -43c = 15 + 43c + -43c Combine like terms: 45c + -43c = 2c -21 + 2c = 15 + 43c + -43c Combine like terms: 43c + -43c = 0 -21 + 2c = 15 + 0 -21 + 2c = 15 Add '21' to each side of the equation. -21 + 21 + 2c = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 2c = 15 + 21 2c = 15 + 21 Combine like terms: 15 + 21 = 36 2c = 36 Divide each side by '2'. c = 18 Simplifying c = 18
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