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Simplifying 0.504 = (0.9)(w)(0.7) Reorder the terms for easier multiplication: 0.504 = 0.9 * 0.7w Multiply 0.9 * 0.7 0.504 = 0.63w Solving 0.504 = 0.63w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.63w' to each side of the equation. 0.504 + -0.63w = 0.63w + -0.63w Combine like terms: 0.63w + -0.63w = 0.00 0.504 + -0.63w = 0.00 Add '-0.504' to each side of the equation. 0.504 + -0.504 + -0.63w = 0.00 + -0.504 Combine like terms: 0.504 + -0.504 = 0.000 0.000 + -0.63w = 0.00 + -0.504 -0.63w = 0.00 + -0.504 Combine like terms: 0.00 + -0.504 = -0.504 -0.63w = -0.504 Divide each side by '-0.63'. w = 0.8 Simplifying w = 0.8
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