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Simplifying 4w + -5(-5z + 4w) + 6z = 0 Reorder the terms: 4w + -5(4w + -5z) + 6z = 0 4w + (4w * -5 + -5z * -5) + 6z = 0 4w + (-20w + 25z) + 6z = 0 Combine like terms: 4w + -20w = -16w -16w + 25z + 6z = 0 Combine like terms: 25z + 6z = 31z -16w + 31z = 0 Solving -16w + 31z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31z' to each side of the equation. -16w + 31z + -31z = 0 + -31z Combine like terms: 31z + -31z = 0 -16w + 0 = 0 + -31z -16w = 0 + -31z Remove the zero: -16w = -31z Divide each side by '-16'. w = 1.9375z Simplifying w = 1.9375z
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