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Simplifying -4(-2w + -1x) + -1(3x + w) = 0 (-2w * -4 + -1x * -4) + -1(3x + w) = 0 (8w + 4x) + -1(3x + w) = 0 Reorder the terms: 8w + 4x + -1(w + 3x) = 0 8w + 4x + (w * -1 + 3x * -1) = 0 8w + 4x + (-1w + -3x) = 0 Reorder the terms: 8w + -1w + 4x + -3x = 0 Combine like terms: 8w + -1w = 7w 7w + 4x + -3x = 0 Combine like terms: 4x + -3x = 1x 7w + 1x = 0 Solving 7w + 1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. 7w + 1x + -1x = 0 + -1x Combine like terms: 1x + -1x = 0 7w + 0 = 0 + -1x 7w = 0 + -1x Remove the zero: 7w = -1x Divide each side by '7'. w = -0.1428571429x Simplifying w = -0.1428571429x
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