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Simplifying -1(4w + -1x) + 5(3x + 2w) = 0 (4w * -1 + -1x * -1) + 5(3x + 2w) = 0 (-4w + 1x) + 5(3x + 2w) = 0 Reorder the terms: -4w + 1x + 5(2w + 3x) = 0 -4w + 1x + (2w * 5 + 3x * 5) = 0 -4w + 1x + (10w + 15x) = 0 Reorder the terms: -4w + 10w + 1x + 15x = 0 Combine like terms: -4w + 10w = 6w 6w + 1x + 15x = 0 Combine like terms: 1x + 15x = 16x 6w + 16x = 0 Solving 6w + 16x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16x' to each side of the equation. 6w + 16x + -16x = 0 + -16x Combine like terms: 16x + -16x = 0 6w + 0 = 0 + -16x 6w = 0 + -16x Remove the zero: 6w = -16x Divide each side by '6'. w = -2.666666667x Simplifying w = -2.666666667x
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