z(n+3)+4=5(n+z)

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Solution for z(n+3)+4=5(n+z) equation:


Simplifying
z(n + 3) + 4 = 5(n + z)

Reorder the terms:
z(3 + n) + 4 = 5(n + z)
(3 * z + n * z) + 4 = 5(n + z)

Reorder the terms:
(nz + 3z) + 4 = 5(n + z)
(nz + 3z) + 4 = 5(n + z)

Reorder the terms:
4 + nz + 3z = 5(n + z)
4 + nz + 3z = (n * 5 + z * 5)
4 + nz + 3z = (5n + 5z)

Solving
4 + nz + 3z = 5n + 5z

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.
4 + nz + -5n + 3z = 5n + -5n + 5z

Reorder the terms:
4 + -5n + nz + 3z = 5n + -5n + 5z

Combine like terms: 5n + -5n = 0
4 + -5n + nz + 3z = 0 + 5z
4 + -5n + nz + 3z = 5z

Add '-4' to each side of the equation.
4 + -5n + nz + -4 + 3z = -4 + 5z

Reorder the terms:
4 + -4 + -5n + nz + 3z = -4 + 5z

Combine like terms: 4 + -4 = 0
0 + -5n + nz + 3z = -4 + 5z
-5n + nz + 3z = -4 + 5z

Add '-3z' to each side of the equation.
-5n + nz + 3z + -3z = -4 + 5z + -3z

Combine like terms: 3z + -3z = 0
-5n + nz + 0 = -4 + 5z + -3z
-5n + nz = -4 + 5z + -3z

Combine like terms: 5z + -3z = 2z
-5n + nz = -4 + 2z

Reorder the terms:
4 + -5n + nz + -2z = -4 + 2z + 4 + -2z

Reorder the terms:
4 + -5n + nz + -2z = -4 + 4 + 2z + -2z

Combine like terms: -4 + 4 = 0
4 + -5n + nz + -2z = 0 + 2z + -2z
4 + -5n + nz + -2z = 2z + -2z

Combine like terms: 2z + -2z = 0
4 + -5n + nz + -2z = 0

The solution to this equation could not be determined.

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