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Simplifying 5(5c + -1) + -2 = 20c + 8 Reorder the terms: 5(-1 + 5c) + -2 = 20c + 8 (-1 * 5 + 5c * 5) + -2 = 20c + 8 (-5 + 25c) + -2 = 20c + 8 Reorder the terms: -5 + -2 + 25c = 20c + 8 Combine like terms: -5 + -2 = -7 -7 + 25c = 20c + 8 Reorder the terms: -7 + 25c = 8 + 20c Solving -7 + 25c = 8 + 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. -7 + 25c + -20c = 8 + 20c + -20c Combine like terms: 25c + -20c = 5c -7 + 5c = 8 + 20c + -20c Combine like terms: 20c + -20c = 0 -7 + 5c = 8 + 0 -7 + 5c = 8 Add '7' to each side of the equation. -7 + 7 + 5c = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 8 + 7 5c = 8 + 7 Combine like terms: 8 + 7 = 15 5c = 15 Divide each side by '5'. c = 3 Simplifying c = 3
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