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Simplifying -1(w + x) + 2(2x + w) = 0 (w * -1 + x * -1) + 2(2x + w) = 0 (-1w + -1x) + 2(2x + w) = 0 Reorder the terms: -1w + -1x + 2(w + 2x) = 0 -1w + -1x + (w * 2 + 2x * 2) = 0 -1w + -1x + (2w + 4x) = 0 Reorder the terms: -1w + 2w + -1x + 4x = 0 Combine like terms: -1w + 2w = 1w 1w + -1x + 4x = 0 Combine like terms: -1x + 4x = 3x 1w + 3x = 0 Solving 1w + 3x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3x' to each side of the equation. 1w + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 1w + 0 = 0 + -3x 1w = 0 + -3x Remove the zero: 1w = -3x Divide each side by '1'. w = -3x Simplifying w = -3x
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