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Simplifying 4z + -1z + vz + 1 + 1 + 2z = 0 Reorder the terms: 1 + 1 + vz + 4z + -1z + 2z = 0 Combine like terms: 1 + 1 = 2 2 + vz + 4z + -1z + 2z = 0 Combine like terms: 4z + -1z = 3z 2 + vz + 3z + 2z = 0 Combine like terms: 3z + 2z = 5z 2 + vz + 5z = 0 Solving 2 + vz + 5z = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + vz + -2 + 5z = 0 + -2 Reorder the terms: 2 + -2 + vz + 5z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + vz + 5z = 0 + -2 vz + 5z = 0 + -2 Combine like terms: 0 + -2 = -2 vz + 5z = -2 Add '-5z' to each side of the equation. vz + 5z + -5z = -2 + -5z Combine like terms: 5z + -5z = 0 vz + 0 = -2 + -5z vz = -2 + -5z Divide each side by 'z'. v = -2z-1 + -5 Simplifying v = -2z-1 + -5 Reorder the terms: v = -5 + -2z-1
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