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Simplifying 6w + -6(x + -2w) + 2x = 0 Reorder the terms: 6w + -6(-2w + x) + 2x = 0 6w + (-2w * -6 + x * -6) + 2x = 0 6w + (12w + -6x) + 2x = 0 Combine like terms: 6w + 12w = 18w 18w + -6x + 2x = 0 Combine like terms: -6x + 2x = -4x 18w + -4x = 0 Solving 18w + -4x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4x' to each side of the equation. 18w + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 18w + 0 = 0 + 4x 18w = 0 + 4x Remove the zero: 18w = 4x Divide each side by '18'. w = 0.2222222222x Simplifying w = 0.2222222222x
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