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Simplifying 5(5c + -1) + -6 = 20c + 4 Reorder the terms: 5(-1 + 5c) + -6 = 20c + 4 (-1 * 5 + 5c * 5) + -6 = 20c + 4 (-5 + 25c) + -6 = 20c + 4 Reorder the terms: -5 + -6 + 25c = 20c + 4 Combine like terms: -5 + -6 = -11 -11 + 25c = 20c + 4 Reorder the terms: -11 + 25c = 4 + 20c Solving -11 + 25c = 4 + 20c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20c' to each side of the equation. -11 + 25c + -20c = 4 + 20c + -20c Combine like terms: 25c + -20c = 5c -11 + 5c = 4 + 20c + -20c Combine like terms: 20c + -20c = 0 -11 + 5c = 4 + 0 -11 + 5c = 4 Add '11' to each side of the equation. -11 + 11 + 5c = 4 + 11 Combine like terms: -11 + 11 = 0 0 + 5c = 4 + 11 5c = 4 + 11 Combine like terms: 4 + 11 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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