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Simplifying 5(4c + -1) = 18c + 5 Reorder the terms: 5(-1 + 4c) = 18c + 5 (-1 * 5 + 4c * 5) = 18c + 5 (-5 + 20c) = 18c + 5 Reorder the terms: -5 + 20c = 5 + 18c Solving -5 + 20c = 5 + 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. -5 + 20c + -18c = 5 + 18c + -18c Combine like terms: 20c + -18c = 2c -5 + 2c = 5 + 18c + -18c Combine like terms: 18c + -18c = 0 -5 + 2c = 5 + 0 -5 + 2c = 5 Add '5' to each side of the equation. -5 + 5 + 2c = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2c = 5 + 5 2c = 5 + 5 Combine like terms: 5 + 5 = 10 2c = 10 Divide each side by '2'. c = 5 Simplifying c = 5
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