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Simplifying 4w + -2(w + -4) = 0 Reorder the terms: 4w + -2(-4 + w) = 0 4w + (-4 * -2 + w * -2) = 0 4w + (8 + -2w) = 0 Reorder the terms: 8 + 4w + -2w = 0 Combine like terms: 4w + -2w = 2w 8 + 2w = 0 Solving 8 + 2w = 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 + 2w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = 0 + -8 2w = 0 + -8 Combine like terms: 0 + -8 = -8 2w = -8 Divide each side by '2'. w = -4 Simplifying w = -4
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