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Simplifying 50 + w + 38 = 44w + 45 Reorder the terms: 50 + 38 + w = 44w + 45 Combine like terms: 50 + 38 = 88 88 + w = 44w + 45 Reorder the terms: 88 + w = 45 + 44w Solving 88 + w = 45 + 44w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-44w' to each side of the equation. 88 + w + -44w = 45 + 44w + -44w Combine like terms: w + -44w = -43w 88 + -43w = 45 + 44w + -44w Combine like terms: 44w + -44w = 0 88 + -43w = 45 + 0 88 + -43w = 45 Add '-88' to each side of the equation. 88 + -88 + -43w = 45 + -88 Combine like terms: 88 + -88 = 0 0 + -43w = 45 + -88 -43w = 45 + -88 Combine like terms: 45 + -88 = -43 -43w = -43 Divide each side by '-43'. w = 1 Simplifying w = 1
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