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Simplifying 4w = 46 + -7w Solving 4w = 46 + -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. 4w + 7w = 46 + -7w + 7w Combine like terms: 4w + 7w = 11w 11w = 46 + -7w + 7w Combine like terms: -7w + 7w = 0 11w = 46 + 0 11w = 46 Divide each side by '11'. w = 4.181818182 Simplifying w = 4.181818182
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