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Simplifying -5(w + -6) + 8w + 1 = 0 Reorder the terms: -5(-6 + w) + 8w + 1 = 0 (-6 * -5 + w * -5) + 8w + 1 = 0 (30 + -5w) + 8w + 1 = 0 Reorder the terms: 30 + 1 + -5w + 8w = 0 Combine like terms: 30 + 1 = 31 31 + -5w + 8w = 0 Combine like terms: -5w + 8w = 3w 31 + 3w = 0 Solving 31 + 3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 3w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 3w = 0 + -31 3w = 0 + -31 Combine like terms: 0 + -31 = -31 3w = -31 Divide each side by '3'. w = -10.33333333 Simplifying w = -10.33333333
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