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Simplifying 0.10c + 15 = 0.15c + 10 Reorder the terms: 15 + 0.10c = 0.15c + 10 Reorder the terms: 15 + 0.10c = 10 + 0.15c Solving 15 + 0.10c = 10 + 0.15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.15c' to each side of the equation. 15 + 0.10c + -0.15c = 10 + 0.15c + -0.15c Combine like terms: 0.10c + -0.15c = -0.05c 15 + -0.05c = 10 + 0.15c + -0.15c Combine like terms: 0.15c + -0.15c = 0.00 15 + -0.05c = 10 + 0.00 15 + -0.05c = 10 Add '-15' to each side of the equation. 15 + -15 + -0.05c = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.05c = 10 + -15 -0.05c = 10 + -15 Combine like terms: 10 + -15 = -5 -0.05c = -5 Divide each side by '-0.05'. c = 100 Simplifying c = 100
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