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Simplifying -5w + -5(-5z + 7w) + z = 0 Reorder the terms: -5w + -5(7w + -5z) + z = 0 -5w + (7w * -5 + -5z * -5) + z = 0 -5w + (-35w + 25z) + z = 0 Combine like terms: -5w + -35w = -40w -40w + 25z + z = 0 Combine like terms: 25z + z = 26z -40w + 26z = 0 Solving -40w + 26z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-26z' to each side of the equation. -40w + 26z + -26z = 0 + -26z Combine like terms: 26z + -26z = 0 -40w + 0 = 0 + -26z -40w = 0 + -26z Remove the zero: -40w = -26z Divide each side by '-40'. w = 0.65z Simplifying w = 0.65z
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