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Simplifying -4(w + -9) + 8w + 3 = 0 Reorder the terms: -4(-9 + w) + 8w + 3 = 0 (-9 * -4 + w * -4) + 8w + 3 = 0 (36 + -4w) + 8w + 3 = 0 Reorder the terms: 36 + 3 + -4w + 8w = 0 Combine like terms: 36 + 3 = 39 39 + -4w + 8w = 0 Combine like terms: -4w + 8w = 4w 39 + 4w = 0 Solving 39 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4w = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 4w = 0 + -39 4w = 0 + -39 Combine like terms: 0 + -39 = -39 4w = -39 Divide each side by '4'. w = -9.75 Simplifying w = -9.75
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