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