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Simplifying -4(w + -5) + 8w + 1 = 0 Reorder the terms: -4(-5 + w) + 8w + 1 = 0 (-5 * -4 + w * -4) + 8w + 1 = 0 (20 + -4w) + 8w + 1 = 0 Reorder the terms: 20 + 1 + -4w + 8w = 0 Combine like terms: 20 + 1 = 21 21 + -4w + 8w = 0 Combine like terms: -4w + 8w = 4w 21 + 4w = 0 Solving 21 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 4w = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4w = 0 + -21 4w = 0 + -21 Combine like terms: 0 + -21 = -21 4w = -21 Divide each side by '4'. w = -5.25 Simplifying w = -5.25
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