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Simplifying 17w + 49 = 35 + 7w Reorder the terms: 49 + 17w = 35 + 7w Solving 49 + 17w = 35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 49 + 17w + -7w = 35 + 7w + -7w Combine like terms: 17w + -7w = 10w 49 + 10w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 49 + 10w = 35 + 0 49 + 10w = 35 Add '-49' to each side of the equation. 49 + -49 + 10w = 35 + -49 Combine like terms: 49 + -49 = 0 0 + 10w = 35 + -49 10w = 35 + -49 Combine like terms: 35 + -49 = -14 10w = -14 Divide each side by '10'. w = -1.4 Simplifying w = -1.4
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