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Simplifying -4(w + -5) + 6w + 3 = 0 Reorder the terms: -4(-5 + w) + 6w + 3 = 0 (-5 * -4 + w * -4) + 6w + 3 = 0 (20 + -4w) + 6w + 3 = 0 Reorder the terms: 20 + 3 + -4w + 6w = 0 Combine like terms: 20 + 3 = 23 23 + -4w + 6w = 0 Combine like terms: -4w + 6w = 2w 23 + 2w = 0 Solving 23 + 2w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 2w = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2w = 0 + -23 2w = 0 + -23 Combine like terms: 0 + -23 = -23 2w = -23 Divide each side by '2'. w = -11.5 Simplifying w = -11.5
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