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Simplifying 0.1(w + 2) = 0.3 + 0.2w Reorder the terms: 0.1(2 + w) = 0.3 + 0.2w (2 * 0.1 + w * 0.1) = 0.3 + 0.2w (0.2 + 0.1w) = 0.3 + 0.2w Solving 0.2 + 0.1w = 0.3 + 0.2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.2w' to each side of the equation. 0.2 + 0.1w + -0.2w = 0.3 + 0.2w + -0.2w Combine like terms: 0.1w + -0.2w = -0.1w 0.2 + -0.1w = 0.3 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 0.2 + -0.1w = 0.3 + 0.0 0.2 + -0.1w = 0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.1w = 0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.1w = 0.3 + -0.2 -0.1w = 0.3 + -0.2 Combine like terms: 0.3 + -0.2 = 0.1 -0.1w = 0.1 Divide each side by '-0.1'. w = -1 Simplifying w = -1
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