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Simplifying 5w + -1(-7z + 4w) + -5z = 0 Reorder the terms: 5w + -1(4w + -7z) + -5z = 0 5w + (4w * -1 + -7z * -1) + -5z = 0 5w + (-4w + 7z) + -5z = 0 Combine like terms: 5w + -4w = 1w 1w + 7z + -5z = 0 Combine like terms: 7z + -5z = 2z 1w + 2z = 0 Solving 1w + 2z = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2z' to each side of the equation. 1w + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 1w + 0 = 0 + -2z 1w = 0 + -2z Remove the zero: 1w = -2z Divide each side by '1'. w = -2z Simplifying w = -2z
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