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Simplifying -17 = 2w + 7 + -5w Reorder the terms: -17 = 7 + 2w + -5w Combine like terms: 2w + -5w = -3w -17 = 7 + -3w Solving -17 = 7 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -17 + 3w = 7 + -3w + 3w Combine like terms: -3w + 3w = 0 -17 + 3w = 7 + 0 -17 + 3w = 7 Add '17' to each side of the equation. -17 + 17 + 3w = 7 + 17 Combine like terms: -17 + 17 = 0 0 + 3w = 7 + 17 3w = 7 + 17 Combine like terms: 7 + 17 = 24 3w = 24 Divide each side by '3'. w = 8 Simplifying w = 8
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