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Simplifying -2(w + -7) + 8w + 3 = 0 Reorder the terms: -2(-7 + w) + 8w + 3 = 0 (-7 * -2 + w * -2) + 8w + 3 = 0 (14 + -2w) + 8w + 3 = 0 Reorder the terms: 14 + 3 + -2w + 8w = 0 Combine like terms: 14 + 3 = 17 17 + -2w + 8w = 0 Combine like terms: -2w + 8w = 6w 17 + 6w = 0 Solving 17 + 6w = 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 + 6w = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 6w = 0 + -17 6w = 0 + -17 Combine like terms: 0 + -17 = -17 6w = -17 Divide each side by '6'. w = -2.833333333 Simplifying w = -2.833333333
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