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Simplifying 0.5w + -1.32 + 1.2w = 0.4 + 8.04 Reorder the terms: -1.32 + 0.5w + 1.2w = 0.4 + 8.04 Combine like terms: 0.5w + 1.2w = 1.7w -1.32 + 1.7w = 0.4 + 8.04 Combine like terms: 0.4 + 8.04 = 8.44 -1.32 + 1.7w = 8.44 Solving -1.32 + 1.7w = 8.44 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.32' to each side of the equation. -1.32 + 1.32 + 1.7w = 8.44 + 1.32 Combine like terms: -1.32 + 1.32 = 0.00 0.00 + 1.7w = 8.44 + 1.32 1.7w = 8.44 + 1.32 Combine like terms: 8.44 + 1.32 = 9.76 1.7w = 9.76 Divide each side by '1.7'. w = 5.741176471 Simplifying w = 5.741176471
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