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Simplifying -9w + 17 + w = 1 + -6w Reorder the terms: 17 + -9w + w = 1 + -6w Combine like terms: -9w + w = -8w 17 + -8w = 1 + -6w Solving 17 + -8w = 1 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 17 + -8w + 6w = 1 + -6w + 6w Combine like terms: -8w + 6w = -2w 17 + -2w = 1 + -6w + 6w Combine like terms: -6w + 6w = 0 17 + -2w = 1 + 0 17 + -2w = 1 Add '-17' to each side of the equation. 17 + -17 + -2w = 1 + -17 Combine like terms: 17 + -17 = 0 0 + -2w = 1 + -17 -2w = 1 + -17 Combine like terms: 1 + -17 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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