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Simplifying -10z + -5v + 8z + 9v = 0 Reorder the terms: -5v + 9v + -10z + 8z = 0 Combine like terms: -5v + 9v = 4v 4v + -10z + 8z = 0 Combine like terms: -10z + 8z = -2z 4v + -2z = 0 Solving 4v + -2z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2z' to each side of the equation. 4v + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 4v + 0 = 0 + 2z 4v = 0 + 2z Remove the zero: 4v = 2z Divide each side by '4'. v = 0.5z Simplifying v = 0.5z
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