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Simplifying 2.7w + 3.4w = 1.6w + 0.9 Combine like terms: 2.7w + 3.4w = 6.1w 6.1w = 1.6w + 0.9 Reorder the terms: 6.1w = 0.9 + 1.6w Solving 6.1w = 0.9 + 1.6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.6w' to each side of the equation. 6.1w + -1.6w = 0.9 + 1.6w + -1.6w Combine like terms: 6.1w + -1.6w = 4.5w 4.5w = 0.9 + 1.6w + -1.6w Combine like terms: 1.6w + -1.6w = 0.0 4.5w = 0.9 + 0.0 4.5w = 0.9 Divide each side by '4.5'. w = 0.2 Simplifying w = 0.2
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