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Simplifying 5(4c + -1) + -5 = 15c + 5 Reorder the terms: 5(-1 + 4c) + -5 = 15c + 5 (-1 * 5 + 4c * 5) + -5 = 15c + 5 (-5 + 20c) + -5 = 15c + 5 Reorder the terms: -5 + -5 + 20c = 15c + 5 Combine like terms: -5 + -5 = -10 -10 + 20c = 15c + 5 Reorder the terms: -10 + 20c = 5 + 15c Solving -10 + 20c = 5 + 15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-15c' to each side of the equation. -10 + 20c + -15c = 5 + 15c + -15c Combine like terms: 20c + -15c = 5c -10 + 5c = 5 + 15c + -15c Combine like terms: 15c + -15c = 0 -10 + 5c = 5 + 0 -10 + 5c = 5 Add '10' to each side of the equation. -10 + 10 + 5c = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5c = 5 + 10 5c = 5 + 10 Combine like terms: 5 + 10 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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