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Simplifying 122 = w + w + w + 35 + w + 35 Reorder the terms: 122 = 35 + 35 + w + w + w + w Combine like terms: 35 + 35 = 70 122 = 70 + w + w + w + w Combine like terms: w + w = 2w 122 = 70 + 2w + w + w Combine like terms: 2w + w = 3w 122 = 70 + 3w + w Combine like terms: 3w + w = 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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