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Simplifying 5(1 + -2w) = 8w (1 * 5 + -2w * 5) = 8w (5 + -10w) = 8w Solving 5 + -10w = 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 5 + -10w + -8w = 8w + -8w Combine like terms: -10w + -8w = -18w 5 + -18w = 8w + -8w Combine like terms: 8w + -8w = 0 5 + -18w = 0 Add '-5' to each side of the equation. 5 + -5 + -18w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -18w = 0 + -5 -18w = 0 + -5 Combine like terms: 0 + -5 = -5 -18w = -5 Divide each side by '-18'. w = 0.2777777778 Simplifying w = 0.2777777778
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