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Simplifying 6w + -2(3z + -6w) + -4z = 0 Reorder the terms: 6w + -2(-6w + 3z) + -4z = 0 6w + (-6w * -2 + 3z * -2) + -4z = 0 6w + (12w + -6z) + -4z = 0 Combine like terms: 6w + 12w = 18w 18w + -6z + -4z = 0 Combine like terms: -6z + -4z = -10z 18w + -10z = 0 Solving 18w + -10z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10z' to each side of the equation. 18w + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 18w + 0 = 0 + 10z 18w = 0 + 10z Remove the zero: 18w = 10z Divide each side by '18'. w = 0.5555555556z Simplifying w = 0.5555555556z
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