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Simplifying 5(4c + -1) + -6 = 18c + 9 Reorder the terms: 5(-1 + 4c) + -6 = 18c + 9 (-1 * 5 + 4c * 5) + -6 = 18c + 9 (-5 + 20c) + -6 = 18c + 9 Reorder the terms: -5 + -6 + 20c = 18c + 9 Combine like terms: -5 + -6 = -11 -11 + 20c = 18c + 9 Reorder the terms: -11 + 20c = 9 + 18c Solving -11 + 20c = 9 + 18c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18c' to each side of the equation. -11 + 20c + -18c = 9 + 18c + -18c Combine like terms: 20c + -18c = 2c -11 + 2c = 9 + 18c + -18c Combine like terms: 18c + -18c = 0 -11 + 2c = 9 + 0 -11 + 2c = 9 Add '11' to each side of the equation. -11 + 11 + 2c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 2c = 9 + 11 2c = 9 + 11 Combine like terms: 9 + 11 = 20 2c = 20 Divide each side by '2'. c = 10 Simplifying c = 10
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