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