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Simplifying 100c + 8 = 75c + 10 Reorder the terms: 8 + 100c = 75c + 10 Reorder the terms: 8 + 100c = 10 + 75c Solving 8 + 100c = 10 + 75c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-75c' to each side of the equation. 8 + 100c + -75c = 10 + 75c + -75c Combine like terms: 100c + -75c = 25c 8 + 25c = 10 + 75c + -75c Combine like terms: 75c + -75c = 0 8 + 25c = 10 + 0 8 + 25c = 10 Add '-8' to each side of the equation. 8 + -8 + 25c = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 25c = 10 + -8 25c = 10 + -8 Combine like terms: 10 + -8 = 2 25c = 2 Divide each side by '25'. c = 0.08 Simplifying c = 0.08
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