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Simplifying 212 = 2w + 2(w + 20) Reorder the terms: 212 = 2w + 2(20 + w) 212 = 2w + (20 * 2 + w * 2) 212 = 2w + (40 + 2w) Reorder the terms: 212 = 40 + 2w + 2w Combine like terms: 2w + 2w = 4w 212 = 40 + 4w Solving 212 = 40 + 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. 212 + -4w = 40 + 4w + -4w Combine like terms: 4w + -4w = 0 212 + -4w = 40 + 0 212 + -4w = 40 Add '-212' to each side of the equation. 212 + -212 + -4w = 40 + -212 Combine like terms: 212 + -212 = 0 0 + -4w = 40 + -212 -4w = 40 + -212 Combine like terms: 40 + -212 = -172 -4w = -172 Divide each side by '-4'. w = 43 Simplifying w = 43
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