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Simplifying 5(5c + -1) + -6 = 21c + 9 Reorder the terms: 5(-1 + 5c) + -6 = 21c + 9 (-1 * 5 + 5c * 5) + -6 = 21c + 9 (-5 + 25c) + -6 = 21c + 9 Reorder the terms: -5 + -6 + 25c = 21c + 9 Combine like terms: -5 + -6 = -11 -11 + 25c = 21c + 9 Reorder the terms: -11 + 25c = 9 + 21c Solving -11 + 25c = 9 + 21c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21c' to each side of the equation. -11 + 25c + -21c = 9 + 21c + -21c Combine like terms: 25c + -21c = 4c -11 + 4c = 9 + 21c + -21c Combine like terms: 21c + -21c = 0 -11 + 4c = 9 + 0 -11 + 4c = 9 Add '11' to each side of the equation. -11 + 11 + 4c = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 4c = 9 + 11 4c = 9 + 11 Combine like terms: 9 + 11 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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