0.3(n-5)z=0.4-0.2(n-7)

Solution for 0.3(n-5)z=0.4-0.2(n-7) equation:

Simplifying
0.3(n + -5) * z = 0.4 + -0.2(n + -7)

Reorder the terms:
0.3(-5 + n) * z = 0.4 + -0.2(n + -7)

Reorder the terms for easier multiplication:
0.3z(-5 + n) = 0.4 + -0.2(n + -7)
(-5 * 0.3z + n * 0.3z) = 0.4 + -0.2(n + -7)

Reorder the terms:
(0.3nz + -1.5z) = 0.4 + -0.2(n + -7)
(0.3nz + -1.5z) = 0.4 + -0.2(n + -7)

Reorder the terms:
0.3nz + -1.5z = 0.4 + -0.2(-7 + n)
0.3nz + -1.5z = 0.4 + (-7 * -0.2 + n * -0.2)
0.3nz + -1.5z = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
0.3nz + -1.5z = 1.8 + -0.2n

Solving
0.3nz + -1.5z = 1.8 + -0.2n

Solving for variable 'n'.

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

Add '0.2n' to each side of the equation.
0.3nz + 0.2n + -1.5z = 1.8 + -0.2n + 0.2n

Reorder the terms:
0.2n + 0.3nz + -1.5z = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
0.2n + 0.3nz + -1.5z = 1.8 + 0.0
0.2n + 0.3nz + -1.5z = 1.8

Add '1.5z' to each side of the equation.
0.2n + 0.3nz + -1.5z + 1.5z = 1.8 + 1.5z

Combine like terms: -1.5z + 1.5z = 0.0
0.2n + 0.3nz + 0.0 = 1.8 + 1.5z
0.2n + 0.3nz = 1.8 + 1.5z

Reorder the terms:
-1.8 + 0.2n + 0.3nz + -1.5z = 1.8 + 1.5z + -1.8 + -1.5z

Reorder the terms:
-1.8 + 0.2n + 0.3nz + -1.5z = 1.8 + -1.8 + 1.5z + -1.5z

Combine like terms: 1.8 + -1.8 = 0.0
-1.8 + 0.2n + 0.3nz + -1.5z = 0.0 + 1.5z + -1.5z
-1.8 + 0.2n + 0.3nz + -1.5z = 1.5z + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
-1.8 + 0.2n + 0.3nz + -1.5z = 0.0

The solution to this equation could not be determined.