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Simplifying 0.5(w + 2) = 0.3 + 0.2w Reorder the terms: 0.5(2 + w) = 0.3 + 0.2w (2 * 0.5 + w * 0.5) = 0.3 + 0.2w (1 + 0.5w) = 0.3 + 0.2w Solving 1 + 0.5w = 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. 1 + 0.5w + -0.2w = 0.3 + 0.2w + -0.2w Combine like terms: 0.5w + -0.2w = 0.3w 1 + 0.3w = 0.3 + 0.2w + -0.2w Combine like terms: 0.2w + -0.2w = 0.0 1 + 0.3w = 0.3 + 0.0 1 + 0.3w = 0.3 Add '-1' to each side of the equation. 1 + -1 + 0.3w = 0.3 + -1 Combine like terms: 1 + -1 = 0 0 + 0.3w = 0.3 + -1 0.3w = 0.3 + -1 Combine like terms: 0.3 + -1 = -0.7 0.3w = -0.7 Divide each side by '0.3'. w = -2.333333333 Simplifying w = -2.333333333
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