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Simplifying -4w + 5 + -8 = 5 + -5w Reorder the terms: 5 + -8 + -4w = 5 + -5w Combine like terms: 5 + -8 = -3 -3 + -4w = 5 + -5w Solving -3 + -4w = 5 + -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. -3 + -4w + 5w = 5 + -5w + 5w Combine like terms: -4w + 5w = 1w -3 + 1w = 5 + -5w + 5w Combine like terms: -5w + 5w = 0 -3 + 1w = 5 + 0 -3 + 1w = 5 Add '3' to each side of the equation. -3 + 3 + 1w = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 1w = 5 + 3 1w = 5 + 3 Combine like terms: 5 + 3 = 8 1w = 8 Divide each side by '1'. w = 8 Simplifying w = 8
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