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Simplifying 17w + 26 = 11w + 51 Reorder the terms: 26 + 17w = 11w + 51 Reorder the terms: 26 + 17w = 51 + 11w Solving 26 + 17w = 51 + 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. 26 + 17w + -11w = 51 + 11w + -11w Combine like terms: 17w + -11w = 6w 26 + 6w = 51 + 11w + -11w Combine like terms: 11w + -11w = 0 26 + 6w = 51 + 0 26 + 6w = 51 Add '-26' to each side of the equation. 26 + -26 + 6w = 51 + -26 Combine like terms: 26 + -26 = 0 0 + 6w = 51 + -26 6w = 51 + -26 Combine like terms: 51 + -26 = 25 6w = 25 Divide each side by '6'. w = 4.166666667 Simplifying w = 4.166666667
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