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Simplifying 40w + 46 = 30w + -17 Reorder the terms: 46 + 40w = 30w + -17 Reorder the terms: 46 + 40w = -17 + 30w Solving 46 + 40w = -17 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 46 + 40w + -30w = -17 + 30w + -30w Combine like terms: 40w + -30w = 10w 46 + 10w = -17 + 30w + -30w Combine like terms: 30w + -30w = 0 46 + 10w = -17 + 0 46 + 10w = -17 Add '-46' to each side of the equation. 46 + -46 + 10w = -17 + -46 Combine like terms: 46 + -46 = 0 0 + 10w = -17 + -46 10w = -17 + -46 Combine like terms: -17 + -46 = -63 10w = -63 Divide each side by '10'. w = -6.3 Simplifying w = -6.3
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