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Simplifying 122 = (w + 35) + 2 Reorder the terms: 122 = (35 + w) + 2 Remove parenthesis around (35 + w) 122 = 35 + w + 2 Reorder the terms: 122 = 35 + 2 + w Combine like terms: 35 + 2 = 37 122 = 37 + w Solving 122 = 37 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 122 + -1w = 37 + w + -1w Combine like terms: w + -1w = 0 122 + -1w = 37 + 0 122 + -1w = 37 Add '-122' to each side of the equation. 122 + -122 + -1w = 37 + -122 Combine like terms: 122 + -122 = 0 0 + -1w = 37 + -122 -1w = 37 + -122 Combine like terms: 37 + -122 = -85 -1w = -85 Divide each side by '-1'. w = 85 Simplifying w = 85
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