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Simplifying w + -2 + 3w = 6 + 5w + -8 Reorder the terms: -2 + w + 3w = 6 + 5w + -8 Combine like terms: w + 3w = 4w -2 + 4w = 6 + 5w + -8 Reorder the terms: -2 + 4w = 6 + -8 + 5w Combine like terms: 6 + -8 = -2 -2 + 4w = -2 + 5w Add '2' to each side of the equation. -2 + 2 + 4w = -2 + 2 + 5w Combine like terms: -2 + 2 = 0 0 + 4w = -2 + 2 + 5w 4w = -2 + 2 + 5w Combine like terms: -2 + 2 = 0 4w = 0 + 5w 4w = 5w Solving 4w = 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. 4w + -5w = 5w + -5w Combine like terms: 4w + -5w = -1w -1w = 5w + -5w Combine like terms: 5w + -5w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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