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Simplifying 0.5(2 + -4w) = 2w + -9 (2 * 0.5 + -4w * 0.5) = 2w + -9 (1 + -2w) = 2w + -9 Reorder the terms: 1 + -2w = -9 + 2w Solving 1 + -2w = -9 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 1 + -2w + -2w = -9 + 2w + -2w Combine like terms: -2w + -2w = -4w 1 + -4w = -9 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + -4w = -9 + 0 1 + -4w = -9 Add '-1' to each side of the equation. 1 + -1 + -4w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = -9 + -1 -4w = -9 + -1 Combine like terms: -9 + -1 = -10 -4w = -10 Divide each side by '-4'. w = 2.5 Simplifying w = 2.5
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