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Simplifying 5w + 8 + -1w = -2(w + -4) Reorder the terms: 8 + 5w + -1w = -2(w + -4) Combine like terms: 5w + -1w = 4w 8 + 4w = -2(w + -4) Reorder the terms: 8 + 4w = -2(-4 + w) 8 + 4w = (-4 * -2 + w * -2) 8 + 4w = (8 + -2w) Add '-8' to each side of the equation. 8 + -8 + 4w = 8 + -8 + -2w Combine like terms: 8 + -8 = 0 0 + 4w = 8 + -8 + -2w 4w = 8 + -8 + -2w Combine like terms: 8 + -8 = 0 4w = 0 + -2w 4w = -2w Solving 4w = -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. 4w + 2w = -2w + 2w Combine like terms: 4w + 2w = 6w 6w = -2w + 2w Combine like terms: -2w + 2w = 0 6w = 0 Divide each side by '6'. w = 0 Simplifying w = 0
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