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Simplifying 0.8w + -0.7w + 0.4 = 3 Reorder the terms: 0.4 + 0.8w + -0.7w = 3 Combine like terms: 0.8w + -0.7w = 0.1w 0.4 + 0.1w = 3 Solving 0.4 + 0.1w = 3 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.1w = 3 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.1w = 3 + -0.4 0.1w = 3 + -0.4 Combine like terms: 3 + -0.4 = 2.6 0.1w = 2.6 Divide each side by '0.1'. w = 26 Simplifying w = 26
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