u(m+4)+w(m-2)=z(m-1)

Solution for u(m+4)+w(m-2)=z(m-1) equation:

Simplifying
u(m + 4) + w(m + -2) = z(m + -1)

Reorder the terms:
u(4 + m) + w(m + -2) = z(m + -1)
(4 * u + m * u) + w(m + -2) = z(m + -1)

Reorder the terms:
(mu + 4u) + w(m + -2) = z(m + -1)
(mu + 4u) + w(m + -2) = z(m + -1)

Reorder the terms:
mu + 4u + w(-2 + m) = z(m + -1)
mu + 4u + (-2 * w + m * w) = z(m + -1)

Reorder the terms:
mu + 4u + (mw + -2w) = z(m + -1)
mu + 4u + (mw + -2w) = z(m + -1)

Reorder the terms:
mu + mw + 4u + -2w = z(m + -1)

Reorder the terms:
mu + mw + 4u + -2w = z(-1 + m)
mu + mw + 4u + -2w = (-1 * z + m * z)

Reorder the terms:
mu + mw + 4u + -2w = (mz + -1z)
mu + mw + 4u + -2w = (mz + -1z)

Solving
mu + mw + 4u + -2w = mz + -1z

Solving for variable 'm'.

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

Add '-1mz' to each side of the equation.
mu + mw + 4u + -1mz + -2w = mz + -1mz + -1z

Reorder the terms:
mu + mw + -1mz + 4u + -2w = mz + -1mz + -1z

Combine like terms: mz + -1mz = 0
mu + mw + -1mz + 4u + -2w = 0 + -1z
mu + mw + -1mz + 4u + -2w = -1z

Add '-4u' to each side of the equation.
mu + mw + -1mz + 4u + -4u + -2w = -4u + -1z

Combine like terms: 4u + -4u = 0
mu + mw + -1mz + 0 + -2w = -4u + -1z
mu + mw + -1mz + -2w = -4u + -1z

Add '2w' to each side of the equation.
mu + mw + -1mz + -2w + 2w = -4u + 2w + -1z

Combine like terms: -2w + 2w = 0
mu + mw + -1mz + 0 = -4u + 2w + -1z
mu + mw + -1mz = -4u + 2w + -1z

Reorder the terms:
mu + mw + -1mz + 4u + -2w + z = -4u + 4u + 2w + -2w + -1z + z

Combine like terms: -4u + 4u = 0
mu + mw + -1mz + 4u + -2w + z = 0 + 2w + -2w + -1z + z
mu + mw + -1mz + 4u + -2w + z = 2w + -2w + -1z + z

Combine like terms: 2w + -2w = 0
mu + mw + -1mz + 4u + -2w + z = 0 + -1z + z
mu + mw + -1mz + 4u + -2w + z = -1z + z

Combine like terms: -1z + z = 0
mu + mw + -1mz + 4u + -2w + z = 0

The solution to this equation could not be determined.