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Simplifying 4w + -9w = 7 + -3w + 7w + 8 Combine like terms: 4w + -9w = -5w -5w = 7 + -3w + 7w + 8 Reorder the terms: -5w = 7 + 8 + -3w + 7w Combine like terms: 7 + 8 = 15 -5w = 15 + -3w + 7w Combine like terms: -3w + 7w = 4w -5w = 15 + 4w Solving -5w = 15 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -5w + -4w = 15 + 4w + -4w Combine like terms: -5w + -4w = -9w -9w = 15 + 4w + -4w Combine like terms: 4w + -4w = 0 -9w = 15 + 0 -9w = 15 Divide each side by '-9'. w = -1.666666667 Simplifying w = -1.666666667
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