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Simplifying w + 41 + 47 = 11w + 40 Reorder the terms: 41 + 47 + w = 11w + 40 Combine like terms: 41 + 47 = 88 88 + w = 11w + 40 Reorder the terms: 88 + w = 40 + 11w Solving 88 + w = 40 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 88 + w + -11w = 40 + 11w + -11w Combine like terms: w + -11w = -10w 88 + -10w = 40 + 11w + -11w Combine like terms: 11w + -11w = 0 88 + -10w = 40 + 0 88 + -10w = 40 Add '-88' to each side of the equation. 88 + -88 + -10w = 40 + -88 Combine like terms: 88 + -88 = 0 0 + -10w = 40 + -88 -10w = 40 + -88 Combine like terms: 40 + -88 = -48 -10w = -48 Divide each side by '-10'. w = 4.8 Simplifying w = 4.8
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