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Simplifying 5(4c + -1) + -1 = 15c + 9 Reorder the terms: 5(-1 + 4c) + -1 = 15c + 9 (-1 * 5 + 4c * 5) + -1 = 15c + 9 (-5 + 20c) + -1 = 15c + 9 Reorder the terms: -5 + -1 + 20c = 15c + 9 Combine like terms: -5 + -1 = -6 -6 + 20c = 15c + 9 Reorder the terms: -6 + 20c = 9 + 15c Solving -6 + 20c = 9 + 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. -6 + 20c + -15c = 9 + 15c + -15c Combine like terms: 20c + -15c = 5c -6 + 5c = 9 + 15c + -15c Combine like terms: 15c + -15c = 0 -6 + 5c = 9 + 0 -6 + 5c = 9 Add '6' to each side of the equation. -6 + 6 + 5c = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5c = 9 + 6 5c = 9 + 6 Combine like terms: 9 + 6 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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