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Simplifying 92 = 2(2w + 4) + 2w Reorder the terms: 92 = 2(4 + 2w) + 2w 92 = (4 * 2 + 2w * 2) + 2w 92 = (8 + 4w) + 2w Combine like terms: 4w + 2w = 6w 92 = 8 + 6w Solving 92 = 8 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 92 + -6w = 8 + 6w + -6w Combine like terms: 6w + -6w = 0 92 + -6w = 8 + 0 92 + -6w = 8 Add '-92' to each side of the equation. 92 + -92 + -6w = 8 + -92 Combine like terms: 92 + -92 = 0 0 + -6w = 8 + -92 -6w = 8 + -92 Combine like terms: 8 + -92 = -84 -6w = -84 Divide each side by '-6'. w = 14 Simplifying w = 14
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