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Simplifying 8w + -1(2x + 4w) = 0 Reorder the terms: 8w + -1(4w + 2x) = 0 8w + (4w * -1 + 2x * -1) = 0 8w + (-4w + -2x) = 0 Combine like terms: 8w + -4w = 4w 4w + -2x = 0 Solving 4w + -2x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2x' to each side of the equation. 4w + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 4w + 0 = 0 + 2x 4w = 0 + 2x Remove the zero: 4w = 2x Divide each side by '4'. w = 0.5x Simplifying w = 0.5x
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