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Simplifying 16 = 2(w + 4) + 2w Reorder the terms: 16 = 2(4 + w) + 2w 16 = (4 * 2 + w * 2) + 2w 16 = (8 + 2w) + 2w Combine like terms: 2w + 2w = 4w 16 = 8 + 4w Solving 16 = 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. 16 + -4w = 8 + 4w + -4w Combine like terms: 4w + -4w = 0 16 + -4w = 8 + 0 16 + -4w = 8 Add '-16' to each side of the equation. 16 + -16 + -4w = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -4w = 8 + -16 -4w = 8 + -16 Combine like terms: 8 + -16 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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