f+g(h+f)-n=v

Solution for f+g(h+f)-n=v equation:

Simplifying
f + g(h + f) + -1n = v

Reorder the terms:
f + g(f + h) + -1n = v
f + (f * g + h * g) + -1n = v
f + (fg + gh) + -1n = v

Solving
f + fg + gh + -1n = v

Solving for variable 'f'.

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

Add '-1gh' to each side of the equation.
f + fg + gh + -1gh + -1n = -1gh + v

Combine like terms: gh + -1gh = 0
f + fg + 0 + -1n = -1gh + v
f + fg + -1n = -1gh + v

Add 'n' to each side of the equation.
f + fg + -1n + n = -1gh + n + v

Combine like terms: -1n + n = 0
f + fg + 0 = -1gh + n + v
f + fg = -1gh + n + v

Reorder the terms:
f + fg + gh + -1n + -1v = -1gh + gh + n + -1n + v + -1v

Combine like terms: -1gh + gh = 0
f + fg + gh + -1n + -1v = 0 + n + -1n + v + -1v
f + fg + gh + -1n + -1v = n + -1n + v + -1v

Combine like terms: n + -1n = 0
f + fg + gh + -1n + -1v = 0 + v + -1v
f + fg + gh + -1n + -1v = v + -1v

Combine like terms: v + -1v = 0
f + fg + gh + -1n + -1v = 0

The solution to this equation could not be determined.