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Simplifying 0.05w + 200 = 0.10w + 75 Reorder the terms: 200 + 0.05w = 0.10w + 75 Reorder the terms: 200 + 0.05w = 75 + 0.10w Solving 200 + 0.05w = 75 + 0.10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.10w' to each side of the equation. 200 + 0.05w + -0.10w = 75 + 0.10w + -0.10w Combine like terms: 0.05w + -0.10w = -0.05w 200 + -0.05w = 75 + 0.10w + -0.10w Combine like terms: 0.10w + -0.10w = 0.00 200 + -0.05w = 75 + 0.00 200 + -0.05w = 75 Add '-200' to each side of the equation. 200 + -200 + -0.05w = 75 + -200 Combine like terms: 200 + -200 = 0 0 + -0.05w = 75 + -200 -0.05w = 75 + -200 Combine like terms: 75 + -200 = -125 -0.05w = -125 Divide each side by '-0.05'. w = 2500 Simplifying w = 2500
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