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Simplifying 4(w + 4) + 6(4 + 2w) = 0 Reorder the terms: 4(4 + w) + 6(4 + 2w) = 0 (4 * 4 + w * 4) + 6(4 + 2w) = 0 (16 + 4w) + 6(4 + 2w) = 0 16 + 4w + (4 * 6 + 2w * 6) = 0 16 + 4w + (24 + 12w) = 0 Reorder the terms: 16 + 24 + 4w + 12w = 0 Combine like terms: 16 + 24 = 40 40 + 4w + 12w = 0 Combine like terms: 4w + 12w = 16w 40 + 16w = 0 Solving 40 + 16w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 16w = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 16w = 0 + -40 16w = 0 + -40 Combine like terms: 0 + -40 = -40 16w = -40 Divide each side by '16'. w = -2.5 Simplifying w = -2.5
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