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Simplifying 5n + 7n = zn Combine like terms: 5n + 7n = 12n 12n = zn Solving 12n = nz Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nz' to each side of the equation. 12n + -1nz = nz + -1nz Combine like terms: nz + -1nz = 0 12n + -1nz = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(12 + -1z) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(12 + -1z)' equal to zero and attempt to solve: Simplifying 12 + -1z = 0 Solving 12 + -1z = 0 Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = 0 + -12 -1z = 0 + -12 Combine like terms: 0 + -12 = -12 -1z = -12 Add 'z' to each side of the equation. -1z + z = -12 + z Combine like terms: -1z + z = 0 0 = -12 + z Simplifying 0 = -12 + z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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