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Simplifying 4 = 2(w + 8) + -4w Reorder the terms: 4 = 2(8 + w) + -4w 4 = (8 * 2 + w * 2) + -4w 4 = (16 + 2w) + -4w Combine like terms: 2w + -4w = -2w 4 = 16 + -2w Solving 4 = 16 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 4 + 2w = 16 + -2w + 2w Combine like terms: -2w + 2w = 0 4 + 2w = 16 + 0 4 + 2w = 16 Add '-4' to each side of the equation. 4 + -4 + 2w = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 2w = 16 + -4 2w = 16 + -4 Combine like terms: 16 + -4 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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