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Simplifying 9v + 8z + -7z + 3v = 0 Reorder the terms: 9v + 3v + 8z + -7z = 0 Combine like terms: 9v + 3v = 12v 12v + 8z + -7z = 0 Combine like terms: 8z + -7z = 1z 12v + 1z = 0 Solving 12v + 1z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1z' to each side of the equation. 12v + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 12v + 0 = 0 + -1z 12v = 0 + -1z Remove the zero: 12v = -1z Divide each side by '12'. v = -0.08333333333z Simplifying v = -0.08333333333z
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