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Simplifying -1w + 8 = -5w Reorder the terms: 8 + -1w = -5w Solving 8 + -1w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 8 + -1w + 5w = -5w + 5w Combine like terms: -1w + 5w = 4w 8 + 4w = -5w + 5w Combine like terms: -5w + 5w = 0 8 + 4w = 0 Add '-8' to each side of the equation. 8 + -8 + 4w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4w = 0 + -8 4w = 0 + -8 Combine like terms: 0 + -8 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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