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Simplifying 5(5c + -1) + -3 = 21c + 8 Reorder the terms: 5(-1 + 5c) + -3 = 21c + 8 (-1 * 5 + 5c * 5) + -3 = 21c + 8 (-5 + 25c) + -3 = 21c + 8 Reorder the terms: -5 + -3 + 25c = 21c + 8 Combine like terms: -5 + -3 = -8 -8 + 25c = 21c + 8 Reorder the terms: -8 + 25c = 8 + 21c Solving -8 + 25c = 8 + 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. -8 + 25c + -21c = 8 + 21c + -21c Combine like terms: 25c + -21c = 4c -8 + 4c = 8 + 21c + -21c Combine like terms: 21c + -21c = 0 -8 + 4c = 8 + 0 -8 + 4c = 8 Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 4c = 8 + 8 Combine like terms: 8 + 8 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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