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Simplifying -17 = 4w + 3 + -8 + -6w Reorder the terms: -17 = 3 + -8 + 4w + -6w Combine like terms: 3 + -8 = -5 -17 = -5 + 4w + -6w Combine like terms: 4w + -6w = -2w -17 = -5 + -2w Solving -17 = -5 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -17 + 2w = -5 + -2w + 2w Combine like terms: -2w + 2w = 0 -17 + 2w = -5 + 0 -17 + 2w = -5 Add '17' to each side of the equation. -17 + 17 + 2w = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 2w = -5 + 17 2w = -5 + 17 Combine like terms: -5 + 17 = 12 2w = 12 Divide each side by '2'. w = 6 Simplifying w = 6
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