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Simplifying 2w + 100 = 4w Reorder the terms: 100 + 2w = 4w Solving 100 + 2w = 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 100 + 2w + -4w = 4w + -4w Combine like terms: 2w + -4w = -2w 100 + -2w = 4w + -4w Combine like terms: 4w + -4w = 0 100 + -2w = 0 Add '-100' to each side of the equation. 100 + -100 + -2w = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -2w = 0 + -100 -2w = 0 + -100 Combine like terms: 0 + -100 = -100 -2w = -100 Divide each side by '-2'. w = 50 Simplifying w = 50
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