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Simplifying 5w + -5(2z + -3w) + -6z = 0 Reorder the terms: 5w + -5(-3w + 2z) + -6z = 0 5w + (-3w * -5 + 2z * -5) + -6z = 0 5w + (15w + -10z) + -6z = 0 Combine like terms: 5w + 15w = 20w 20w + -10z + -6z = 0 Combine like terms: -10z + -6z = -16z 20w + -16z = 0 Solving 20w + -16z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16z' to each side of the equation. 20w + -16z + 16z = 0 + 16z Combine like terms: -16z + 16z = 0 20w + 0 = 0 + 16z 20w = 0 + 16z Remove the zero: 20w = 16z Divide each side by '20'. w = 0.8z Simplifying w = 0.8z
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