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Simplifying 7w + 9 + -3w = 17 + 5w Reorder the terms: 9 + 7w + -3w = 17 + 5w Combine like terms: 7w + -3w = 4w 9 + 4w = 17 + 5w Solving 9 + 4w = 17 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 9 + 4w + -5w = 17 + 5w + -5w Combine like terms: 4w + -5w = -1w 9 + -1w = 17 + 5w + -5w Combine like terms: 5w + -5w = 0 9 + -1w = 17 + 0 9 + -1w = 17 Add '-9' to each side of the equation. 9 + -9 + -1w = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 17 + -9 -1w = 17 + -9 Combine like terms: 17 + -9 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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