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Simplifying -3(w + -5) + 8w + 1 = 0 Reorder the terms: -3(-5 + w) + 8w + 1 = 0 (-5 * -3 + w * -3) + 8w + 1 = 0 (15 + -3w) + 8w + 1 = 0 Reorder the terms: 15 + 1 + -3w + 8w = 0 Combine like terms: 15 + 1 = 16 16 + -3w + 8w = 0 Combine like terms: -3w + 8w = 5w 16 + 5w = 0 Solving 16 + 5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 5w = 0 + -16 5w = 0 + -16 Combine like terms: 0 + -16 = -16 5w = -16 Divide each side by '5'. w = -3.2 Simplifying w = -3.2
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