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Simplifying 196 = 2(w + 2) + 2w Reorder the terms: 196 = 2(2 + w) + 2w 196 = (2 * 2 + w * 2) + 2w 196 = (4 + 2w) + 2w Combine like terms: 2w + 2w = 4w 196 = 4 + 4w Solving 196 = 4 + 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. 196 + -4w = 4 + 4w + -4w Combine like terms: 4w + -4w = 0 196 + -4w = 4 + 0 196 + -4w = 4 Add '-196' to each side of the equation. 196 + -196 + -4w = 4 + -196 Combine like terms: 196 + -196 = 0 0 + -4w = 4 + -196 -4w = 4 + -196 Combine like terms: 4 + -196 = -192 -4w = -192 Divide each side by '-4'. w = 48 Simplifying w = 48
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