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Simplifying 0.6w + -0.4w + 0.3 = 2 Reorder the terms: 0.3 + 0.6w + -0.4w = 2 Combine like terms: 0.6w + -0.4w = 0.2w 0.3 + 0.2w = 2 Solving 0.3 + 0.2w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.2w = 2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.2w = 2 + -0.3 0.2w = 2 + -0.3 Combine like terms: 2 + -0.3 = 1.7 0.2w = 1.7 Divide each side by '0.2'. w = 8.5 Simplifying w = 8.5
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