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Simplifying -2(w + -8) + 9w + 1 = 0 Reorder the terms: -2(-8 + w) + 9w + 1 = 0 (-8 * -2 + w * -2) + 9w + 1 = 0 (16 + -2w) + 9w + 1 = 0 Reorder the terms: 16 + 1 + -2w + 9w = 0 Combine like terms: 16 + 1 = 17 17 + -2w + 9w = 0 Combine like terms: -2w + 9w = 7w 17 + 7w = 0 Solving 17 + 7w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 7w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 7w = 0 + -17 7w = 0 + -17 Combine like terms: 0 + -17 = -17 7w = -17 Divide each side by '7'. w = -2.428571429 Simplifying w = -2.428571429
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