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Simplifying 4w + 8(1 + w) = 0 4w + (1 * 8 + w * 8) = 0 4w + (8 + 8w) = 0 Reorder the terms: 8 + 4w + 8w = 0 Combine like terms: 4w + 8w = 12w 8 + 12w = 0 Solving 8 + 12w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 12w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 12w = 0 + -8 12w = 0 + -8 Combine like terms: 0 + -8 = -8 12w = -8 Divide each side by '12'. w = -0.6666666667 Simplifying w = -0.6666666667
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