p+z(q+y)=x(p+z)-n(r+q)

Solution for p+z(q+y)=x(p+z)-n(r+q) equation:

Simplifying
p + z(q + y) = x(p + z) + -1n(r + q)
p + (q * z + y * z) = x(p + z) + -1n(r + q)
p + (qz + yz) = x(p + z) + -1n(r + q)
p + qz + yz = (p * x + z * x) + -1n(r + q)
p + qz + yz = (px + xz) + -1n(r + q)

Reorder the terms:
p + qz + yz = px + xz + -1n(q + r)
p + qz + yz = px + xz + (q * -1n + r * -1n)
p + qz + yz = px + xz + (-1nq + -1nr)

Reorder the terms:
p + qz + yz = -1nq + -1nr + px + xz

Solving
p + qz + yz = -1nq + -1nr + px + xz

Solving for variable 'p'.

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

Add '-1px' to each side of the equation.
p + qz + -1px + yz = -1nq + -1nr + px + -1px + xz

Reorder the terms:
p + -1px + qz + yz = -1nq + -1nr + px + -1px + xz

Combine like terms: px + -1px = 0
p + -1px + qz + yz = -1nq + -1nr + 0 + xz
p + -1px + qz + yz = -1nq + -1nr + xz

Add '-1qz' to each side of the equation.
p + -1px + qz + -1qz + yz = -1nq + -1nr + -1qz + xz

Combine like terms: qz + -1qz = 0
p + -1px + 0 + yz = -1nq + -1nr + -1qz + xz
p + -1px + yz = -1nq + -1nr + -1qz + xz

Add '-1yz' to each side of the equation.
p + -1px + yz + -1yz = -1nq + -1nr + -1qz + xz + -1yz

Combine like terms: yz + -1yz = 0
p + -1px + 0 = -1nq + -1nr + -1qz + xz + -1yz
p + -1px = -1nq + -1nr + -1qz + xz + -1yz

Reorder the terms:
nq + nr + p + -1px + qz + -1xz + yz = -1nq + -1nr + -1qz + xz + -1yz + nq + nr + qz + -1xz + yz

Reorder the terms:
nq + nr + p + -1px + qz + -1xz + yz = -1nq + nq + -1nr + nr + -1qz + qz + xz + -1xz + -1yz + yz

Combine like terms: -1nq + nq = 0
nq + nr + p + -1px + qz + -1xz + yz = 0 + -1nr + nr + -1qz + qz + xz + -1xz + -1yz + yz
nq + nr + p + -1px + qz + -1xz + yz = -1nr + nr + -1qz + qz + xz + -1xz + -1yz + yz

Combine like terms: -1nr + nr = 0
nq + nr + p + -1px + qz + -1xz + yz = 0 + -1qz + qz + xz + -1xz + -1yz + yz
nq + nr + p + -1px + qz + -1xz + yz = -1qz + qz + xz + -1xz + -1yz + yz

Combine like terms: -1qz + qz = 0
nq + nr + p + -1px + qz + -1xz + yz = 0 + xz + -1xz + -1yz + yz
nq + nr + p + -1px + qz + -1xz + yz = xz + -1xz + -1yz + yz

Combine like terms: xz + -1xz = 0
nq + nr + p + -1px + qz + -1xz + yz = 0 + -1yz + yz
nq + nr + p + -1px + qz + -1xz + yz = -1yz + yz

Combine like terms: -1yz + yz = 0
nq + nr + p + -1px + qz + -1xz + yz = 0

The solution to this equation could not be determined.