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Simplifying (1 + -0.15)(417w + 96294) = 11 Combine like terms: 1 + -0.15 = 0.85 (0.85)(417w + 96294) = 11 Reorder the terms: 0.85(96294 + 417w) = 11 (96294 * 0.85 + 417w * 0.85) = 11 (81849.9 + 354.45w) = 11 Solving 81849.9 + 354.45w = 11 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-81849.9' to each side of the equation. 81849.9 + -81849.9 + 354.45w = 11 + -81849.9 Combine like terms: 81849.9 + -81849.9 = 0.0 0.0 + 354.45w = 11 + -81849.9 354.45w = 11 + -81849.9 Combine like terms: 11 + -81849.9 = -81838.9 354.45w = -81838.9 Divide each side by '354.45'. w = -230.8898293 Simplifying w = -230.8898293
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