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Simplifying 12v + -5 + 10z + 8 = 0 Reorder the terms: -5 + 8 + 12v + 10z = 0 Combine like terms: -5 + 8 = 3 3 + 12v + 10z = 0 Solving 3 + 12v + 10z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 12v + -3 + 10z = 0 + -3 Reorder the terms: 3 + -3 + 12v + 10z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12v + 10z = 0 + -3 12v + 10z = 0 + -3 Combine like terms: 0 + -3 = -3 12v + 10z = -3 Add '-10z' to each side of the equation. 12v + 10z + -10z = -3 + -10z Combine like terms: 10z + -10z = 0 12v + 0 = -3 + -10z 12v = -3 + -10z Divide each side by '12'. v = -0.25 + -0.8333333333z Simplifying v = -0.25 + -0.8333333333z
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