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Simplifying 2(1 + -2w) = 4w + 8 (1 * 2 + -2w * 2) = 4w + 8 (2 + -4w) = 4w + 8 Reorder the terms: 2 + -4w = 8 + 4w Solving 2 + -4w = 8 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 2 + -4w + -4w = 8 + 4w + -4w Combine like terms: -4w + -4w = -8w 2 + -8w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 2 + -8w = 8 + 0 2 + -8w = 8 Add '-2' to each side of the equation. 2 + -2 + -8w = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -8w = 8 + -2 -8w = 8 + -2 Combine like terms: 8 + -2 = 6 -8w = 6 Divide each side by '-8'. w = -0.75 Simplifying w = -0.75
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