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Simplifying 5w + -5(4z + -4w) + -2z = 0 Reorder the terms: 5w + -5(-4w + 4z) + -2z = 0 5w + (-4w * -5 + 4z * -5) + -2z = 0 5w + (20w + -20z) + -2z = 0 Combine like terms: 5w + 20w = 25w 25w + -20z + -2z = 0 Combine like terms: -20z + -2z = -22z 25w + -22z = 0 Solving 25w + -22z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22z' to each side of the equation. 25w + -22z + 22z = 0 + 22z Combine like terms: -22z + 22z = 0 25w + 0 = 0 + 22z 25w = 0 + 22z Remove the zero: 25w = 22z Divide each side by '25'. w = 0.88z Simplifying w = 0.88z
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