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Simplifying v = vw + zv Solving v = vw + vz Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1vw' to each side of the equation. v + -1vw = vw + -1vw + vz Combine like terms: vw + -1vw = 0 v + -1vw = 0 + vz v + -1vw = vz Add '-1vz' to each side of the equation. v + -1vw + -1vz = vz + -1vz Combine like terms: vz + -1vz = 0 v + -1vw + -1vz = 0 Factor out the Greatest Common Factor (GCF), 'v'. v(1 + -1w + -1z) = 0Subproblem 1
Set the factor 'v' equal to zero and attempt to solve: Simplifying v = 0 Solving v = 0 Move all terms containing v to the left, all other terms to the right. Simplifying v = 0Subproblem 2
Set the factor '(1 + -1w + -1z)' equal to zero and attempt to solve: Simplifying 1 + -1w + -1z = 0 Solving 1 + -1w + -1z = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1w + -1 + -1z = 0 + -1 Reorder the terms: 1 + -1 + -1w + -1z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w + -1z = 0 + -1 -1w + -1z = 0 + -1 Combine like terms: 0 + -1 = -1 -1w + -1z = -1 Add 'w' to each side of the equation. -1w + w + -1z = -1 + w Combine like terms: -1w + w = 0 0 + -1z = -1 + w -1z = -1 + w Add 'z' to each side of the equation. -1z + z = -1 + w + z Combine like terms: -1z + z = 0 0 = -1 + w + z Simplifying 0 = -1 + w + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
v = {0}
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