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Simplifying 8w + 2(7 + -1w) + -2w = 0 8w + (7 * 2 + -1w * 2) + -2w = 0 8w + (14 + -2w) + -2w = 0 Reorder the terms: 14 + 8w + -2w + -2w = 0 Combine like terms: 8w + -2w = 6w 14 + 6w + -2w = 0 Combine like terms: 6w + -2w = 4w 14 + 4w = 0 Solving 14 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 4w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 4w = 0 + -14 4w = 0 + -14 Combine like terms: 0 + -14 = -14 4w = -14 Divide each side by '4'. w = -3.5 Simplifying w = -3.5
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