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