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Simplifying 2(6w + 2) = 8(w + 6) Reorder the terms: 2(2 + 6w) = 8(w + 6) (2 * 2 + 6w * 2) = 8(w + 6) (4 + 12w) = 8(w + 6) Reorder the terms: 4 + 12w = 8(6 + w) 4 + 12w = (6 * 8 + w * 8) 4 + 12w = (48 + 8w) Solving 4 + 12w = 48 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 4 + 12w + -8w = 48 + 8w + -8w Combine like terms: 12w + -8w = 4w 4 + 4w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 4 + 4w = 48 + 0 4 + 4w = 48 Add '-4' to each side of the equation. 4 + -4 + 4w = 48 + -4 Combine like terms: 4 + -4 = 0 0 + 4w = 48 + -4 4w = 48 + -4 Combine like terms: 48 + -4 = 44 4w = 44 Divide each side by '4'. w = 11 Simplifying w = 11
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