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Simplifying 4w + -5(-6z + 5w) + 5z = 0 Reorder the terms: 4w + -5(5w + -6z) + 5z = 0 4w + (5w * -5 + -6z * -5) + 5z = 0 4w + (-25w + 30z) + 5z = 0 Combine like terms: 4w + -25w = -21w -21w + 30z + 5z = 0 Combine like terms: 30z + 5z = 35z -21w + 35z = 0 Solving -21w + 35z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-35z' to each side of the equation. -21w + 35z + -35z = 0 + -35z Combine like terms: 35z + -35z = 0 -21w + 0 = 0 + -35z -21w = 0 + -35z Remove the zero: -21w = -35z Divide each side by '-21'. w = 1.666666667z Simplifying w = 1.666666667z
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