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Simplifying 5w + -2(3z + -4w) + -4z = 0 Reorder the terms: 5w + -2(-4w + 3z) + -4z = 0 5w + (-4w * -2 + 3z * -2) + -4z = 0 5w + (8w + -6z) + -4z = 0 Combine like terms: 5w + 8w = 13w 13w + -6z + -4z = 0 Combine like terms: -6z + -4z = -10z 13w + -10z = 0 Solving 13w + -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. 13w + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 13w + 0 = 0 + 10z 13w = 0 + 10z Remove the zero: 13w = 10z Divide each side by '13'. w = 0.7692307692z Simplifying w = 0.7692307692z
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