3(n-1)=5n+3-2nz

Solution for 3(n-1)=5n+3-2nz equation:

Simplifying
3(n + -1) = 5n + 3 + -2nz

Reorder the terms:
3(-1 + n) = 5n + 3 + -2nz
(-1 * 3 + n * 3) = 5n + 3 + -2nz
(-3 + 3n) = 5n + 3 + -2nz

Reorder the terms:
-3 + 3n = 3 + 5n + -2nz

Solving
-3 + 3n = 3 + 5n + -2nz

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-5n' to each side of the equation.
-3 + 3n + -5n = 3 + 5n + -5n + -2nz

Combine like terms: 3n + -5n = -2n
-3 + -2n = 3 + 5n + -5n + -2nz

Combine like terms: 5n + -5n = 0
-3 + -2n = 3 + 0 + -2nz
-3 + -2n = 3 + -2nz

Add '2nz' to each side of the equation.
-3 + -2n + 2nz = 3 + -2nz + 2nz

Combine like terms: -2nz + 2nz = 0
-3 + -2n + 2nz = 3 + 0
-3 + -2n + 2nz = 3

Add '3' to each side of the equation.
-3 + -2n + 3 + 2nz = 3 + 3

Reorder the terms:
-3 + 3 + -2n + 2nz = 3 + 3

Combine like terms: -3 + 3 = 0
0 + -2n + 2nz = 3 + 3
-2n + 2nz = 3 + 3

Combine like terms: 3 + 3 = 6
-2n + 2nz = 6

Reorder the terms:
-6 + -2n + 2nz = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -2n + 2nz = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -1n + nz) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-3 + -1n + nz)' equal to zero and attempt to solve:

Simplifying
-3 + -1n + nz = 0

Solving
-3 + -1n + nz = 0

Move all terms containing n to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + -1n + 3 + nz = 0 + 3

Reorder the terms:
-3 + 3 + -1n + nz = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1n + nz = 0 + 3
-1n + nz = 0 + 3

Combine like terms: 0 + 3 = 3
-1n + nz = 3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.