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Simplifying 5(9c + -1) + -8 = 43c + 5 Reorder the terms: 5(-1 + 9c) + -8 = 43c + 5 (-1 * 5 + 9c * 5) + -8 = 43c + 5 (-5 + 45c) + -8 = 43c + 5 Reorder the terms: -5 + -8 + 45c = 43c + 5 Combine like terms: -5 + -8 = -13 -13 + 45c = 43c + 5 Reorder the terms: -13 + 45c = 5 + 43c Solving -13 + 45c = 5 + 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. -13 + 45c + -43c = 5 + 43c + -43c Combine like terms: 45c + -43c = 2c -13 + 2c = 5 + 43c + -43c Combine like terms: 43c + -43c = 0 -13 + 2c = 5 + 0 -13 + 2c = 5 Add '13' to each side of the equation. -13 + 13 + 2c = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2c = 5 + 13 2c = 5 + 13 Combine like terms: 5 + 13 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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