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Simplifying 7w + -6(2x + -1w) + 4x = 0 Reorder the terms: 7w + -6(-1w + 2x) + 4x = 0 7w + (-1w * -6 + 2x * -6) + 4x = 0 7w + (6w + -12x) + 4x = 0 Combine like terms: 7w + 6w = 13w 13w + -12x + 4x = 0 Combine like terms: -12x + 4x = -8x 13w + -8x = 0 Solving 13w + -8x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8x' to each side of the equation. 13w + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 13w + 0 = 0 + 8x 13w = 0 + 8x Remove the zero: 13w = 8x Divide each side by '13'. w = 0.6153846154x Simplifying w = 0.6153846154x
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