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Simplifying (-4w + 8)(4) = 0 Reorder the terms: (8 + -4w)(4) = 0 Reorder the terms for easier multiplication: 4(8 + -4w) = 0 (8 * 4 + -4w * 4) = 0 (32 + -16w) = 0 Solving 32 + -16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -16w = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -16w = 0 + -32 -16w = 0 + -32 Combine like terms: 0 + -32 = -32 -16w = -32 Divide each side by '-16'. w = 2 Simplifying w = 2
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