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Simplifying -4w + -5(-5z + 3w) + 2z = 0 Reorder the terms: -4w + -5(3w + -5z) + 2z = 0 -4w + (3w * -5 + -5z * -5) + 2z = 0 -4w + (-15w + 25z) + 2z = 0 Combine like terms: -4w + -15w = -19w -19w + 25z + 2z = 0 Combine like terms: 25z + 2z = 27z -19w + 27z = 0 Solving -19w + 27z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-27z' to each side of the equation. -19w + 27z + -27z = 0 + -27z Combine like terms: 27z + -27z = 0 -19w + 0 = 0 + -27z -19w = 0 + -27z Remove the zero: -19w = -27z Divide each side by '-19'. w = 1.421052632z Simplifying w = 1.421052632z
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