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Simplifying 3w + 8w + -1w = 4w + -2(w + -4) Combine like terms: 3w + 8w = 11w 11w + -1w = 4w + -2(w + -4) Combine like terms: 11w + -1w = 10w 10w = 4w + -2(w + -4) Reorder the terms: 10w = 4w + -2(-4 + w) 10w = 4w + (-4 * -2 + w * -2) 10w = 4w + (8 + -2w) Reorder the terms: 10w = 8 + 4w + -2w Combine like terms: 4w + -2w = 2w 10w = 8 + 2w Solving 10w = 8 + 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. 10w + -2w = 8 + 2w + -2w Combine like terms: 10w + -2w = 8w 8w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 8w = 8 + 0 8w = 8 Divide each side by '8'. w = 1 Simplifying w = 1
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