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Simplifying 100 = 2(4 + w) + 2w 100 = (4 * 2 + w * 2) + 2w 100 = (8 + 2w) + 2w Combine like terms: 2w + 2w = 4w 100 = 8 + 4w Solving 100 = 8 + 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 + -4w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 100 + -4w = 8 + 0 100 + -4w = 8 Add '-100' to each side of the equation. 100 + -100 + -4w = 8 + -100 Combine like terms: 100 + -100 = 0 0 + -4w = 8 + -100 -4w = 8 + -100 Combine like terms: 8 + -100 = -92 -4w = -92 Divide each side by '-4'. w = 23 Simplifying w = 23
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