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