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Simplifying 5(5c + -1) = 21c + 2 Reorder the terms: 5(-1 + 5c) = 21c + 2 (-1 * 5 + 5c * 5) = 21c + 2 (-5 + 25c) = 21c + 2 Reorder the terms: -5 + 25c = 2 + 21c Solving -5 + 25c = 2 + 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. -5 + 25c + -21c = 2 + 21c + -21c Combine like terms: 25c + -21c = 4c -5 + 4c = 2 + 21c + -21c Combine like terms: 21c + -21c = 0 -5 + 4c = 2 + 0 -5 + 4c = 2 Add '5' to each side of the equation. -5 + 5 + 4c = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 4c = 2 + 5 4c = 2 + 5 Combine like terms: 2 + 5 = 7 4c = 7 Divide each side by '4'. c = 1.75 Simplifying c = 1.75
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