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Simplifying 0.5w + -1.32 + 1.2w = 0.4w + 8.04 Reorder the terms: -1.32 + 0.5w + 1.2w = 0.4w + 8.04 Combine like terms: 0.5w + 1.2w = 1.7w -1.32 + 1.7w = 0.4w + 8.04 Reorder the terms: -1.32 + 1.7w = 8.04 + 0.4w Solving -1.32 + 1.7w = 8.04 + 0.4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.4w' to each side of the equation. -1.32 + 1.7w + -0.4w = 8.04 + 0.4w + -0.4w Combine like terms: 1.7w + -0.4w = 1.3w -1.32 + 1.3w = 8.04 + 0.4w + -0.4w Combine like terms: 0.4w + -0.4w = 0.0 -1.32 + 1.3w = 8.04 + 0.0 -1.32 + 1.3w = 8.04 Add '1.32' to each side of the equation. -1.32 + 1.32 + 1.3w = 8.04 + 1.32 Combine like terms: -1.32 + 1.32 = 0.00 0.00 + 1.3w = 8.04 + 1.32 1.3w = 8.04 + 1.32 Combine like terms: 8.04 + 1.32 = 9.36 1.3w = 9.36 Divide each side by '1.3'. w = 7.2 Simplifying w = 7.2
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