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Simplifying 122 = 2(w + 35) + 2(w) Reorder the terms: 122 = 2(35 + w) + 2(w) 122 = (35 * 2 + w * 2) + 2(w) 122 = (70 + 2w) + 2(w) Combine like terms: 2w + 2w = 4w 122 = 70 + 4w Solving 122 = 70 + 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. 122 + -4w = 70 + 4w + -4w Combine like terms: 4w + -4w = 0 122 + -4w = 70 + 0 122 + -4w = 70 Add '-122' to each side of the equation. 122 + -122 + -4w = 70 + -122 Combine like terms: 122 + -122 = 0 0 + -4w = 70 + -122 -4w = 70 + -122 Combine like terms: 70 + -122 = -52 -4w = -52 Divide each side by '-4'. w = 13 Simplifying w = 13
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