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Simplifying 76 = 2(w + 6) + 2(w) Reorder the terms: 76 = 2(6 + w) + 2(w) 76 = (6 * 2 + w * 2) + 2(w) 76 = (12 + 2w) + 2(w) Combine like terms: 2w + 2w = 4w 76 = 12 + 4w Solving 76 = 12 + 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. 76 + -4w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 76 + -4w = 12 + 0 76 + -4w = 12 Add '-76' to each side of the equation. 76 + -76 + -4w = 12 + -76 Combine like terms: 76 + -76 = 0 0 + -4w = 12 + -76 -4w = 12 + -76 Combine like terms: 12 + -76 = -64 -4w = -64 Divide each side by '-4'. w = 16 Simplifying w = 16
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