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Simplifying 5(2c + -1) + -4 = 8c + 9 Reorder the terms: 5(-1 + 2c) + -4 = 8c + 9 (-1 * 5 + 2c * 5) + -4 = 8c + 9 (-5 + 10c) + -4 = 8c + 9 Reorder the terms: -5 + -4 + 10c = 8c + 9 Combine like terms: -5 + -4 = -9 -9 + 10c = 8c + 9 Reorder the terms: -9 + 10c = 9 + 8c Solving -9 + 10c = 9 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -9 + 10c + -8c = 9 + 8c + -8c Combine like terms: 10c + -8c = 2c -9 + 2c = 9 + 8c + -8c Combine like terms: 8c + -8c = 0 -9 + 2c = 9 + 0 -9 + 2c = 9 Add '9' to each side of the equation. -9 + 9 + 2c = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 2c = 9 + 9 2c = 9 + 9 Combine like terms: 9 + 9 = 18 2c = 18 Divide each side by '2'. c = 9 Simplifying c = 9
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