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Simplifying -9 * 47 + 7w = 11w Multiply -9 * 47 -423 + 7w = 11w Solving -423 + 7w = 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. -423 + 7w + -11w = 11w + -11w Combine like terms: 7w + -11w = -4w -423 + -4w = 11w + -11w Combine like terms: 11w + -11w = 0 -423 + -4w = 0 Add '423' to each side of the equation. -423 + 423 + -4w = 0 + 423 Combine like terms: -423 + 423 = 0 0 + -4w = 0 + 423 -4w = 0 + 423 Combine like terms: 0 + 423 = 423 -4w = 423 Divide each side by '-4'. w = -105.75 Simplifying w = -105.75
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