u(m+1)+w(m-9)=z(m-1)

Solution for u(m+1)+w(m-9)=z(m-1) equation:

Simplifying
u(m + 1) + w(m + -9) = z(m + -1)

Reorder the terms:
u(1 + m) + w(m + -9) = z(m + -1)
(1 * u + m * u) + w(m + -9) = z(m + -1)

Reorder the terms:
(mu + 1u) + w(m + -9) = z(m + -1)
(mu + 1u) + w(m + -9) = z(m + -1)

Reorder the terms:
mu + 1u + w(-9 + m) = z(m + -1)
mu + 1u + (-9 * w + m * w) = z(m + -1)

Reorder the terms:
mu + 1u + (mw + -9w) = z(m + -1)
mu + 1u + (mw + -9w) = z(m + -1)

Reorder the terms:
mu + mw + 1u + -9w = z(m + -1)

Reorder the terms:
mu + mw + 1u + -9w = z(-1 + m)
mu + mw + 1u + -9w = (-1 * z + m * z)

Reorder the terms:
mu + mw + 1u + -9w = (mz + -1z)
mu + mw + 1u + -9w = (mz + -1z)

Solving
mu + mw + 1u + -9w = 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 + 1u + -1mz + -9w = mz + -1mz + -1z

Reorder the terms:
mu + mw + -1mz + 1u + -9w = mz + -1mz + -1z

Combine like terms: mz + -1mz = 0
mu + mw + -1mz + 1u + -9w = 0 + -1z
mu + mw + -1mz + 1u + -9w = -1z

Add '-1u' to each side of the equation.
mu + mw + -1mz + 1u + -1u + -9w = -1u + -1z

Combine like terms: 1u + -1u = 0
mu + mw + -1mz + 0 + -9w = -1u + -1z
mu + mw + -1mz + -9w = -1u + -1z

Add '9w' to each side of the equation.
mu + mw + -1mz + -9w + 9w = -1u + 9w + -1z

Combine like terms: -9w + 9w = 0
mu + mw + -1mz + 0 = -1u + 9w + -1z
mu + mw + -1mz = -1u + 9w + -1z

Reorder the terms:
mu + mw + -1mz + u + -9w + z = -1u + u + 9w + -9w + -1z + z

Combine like terms: -1u + u = 0
mu + mw + -1mz + u + -9w + z = 0 + 9w + -9w + -1z + z
mu + mw + -1mz + u + -9w + z = 9w + -9w + -1z + z

Combine like terms: 9w + -9w = 0
mu + mw + -1mz + u + -9w + z = 0 + -1z + z
mu + mw + -1mz + u + -9w + z = -1z + z

Combine like terms: -1z + z = 0
mu + mw + -1mz + u + -9w + z = 0

The solution to this equation could not be determined.