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Simplifying -5w + -6(2z + -5w) + z = 0 Reorder the terms: -5w + -6(-5w + 2z) + z = 0 -5w + (-5w * -6 + 2z * -6) + z = 0 -5w + (30w + -12z) + z = 0 Combine like terms: -5w + 30w = 25w 25w + -12z + z = 0 Combine like terms: -12z + z = -11z 25w + -11z = 0 Solving 25w + -11z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11z' to each side of the equation. 25w + -11z + 11z = 0 + 11z Combine like terms: -11z + 11z = 0 25w + 0 = 0 + 11z 25w = 0 + 11z Remove the zero: 25w = 11z Divide each side by '25'. w = 0.44z Simplifying w = 0.44z
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