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