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Simplifying 0.6w + -0.3w + 0.2 = 2 Reorder the terms: 0.2 + 0.6w + -0.3w = 2 Combine like terms: 0.6w + -0.3w = 0.3w 0.2 + 0.3w = 2 Solving 0.2 + 0.3w = 2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.3w = 2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.3w = 2 + -0.2 0.3w = 2 + -0.2 Combine like terms: 2 + -0.2 = 1.8 0.3w = 1.8 Divide each side by '0.3'. w = 6 Simplifying w = 6
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