u(m+11)+w(m-12)=z(m-1)

Solution for u(m+11)+w(m-12)=z(m-1) equation:

Simplifying
u(m + 11) + w(m + -12) = z(m + -1)

Reorder the terms:
u(11 + m) + w(m + -12) = z(m + -1)
(11 * u + m * u) + w(m + -12) = z(m + -1)

Reorder the terms:
(mu + 11u) + w(m + -12) = z(m + -1)
(mu + 11u) + w(m + -12) = z(m + -1)

Reorder the terms:
mu + 11u + w(-12 + m) = z(m + -1)
mu + 11u + (-12 * w + m * w) = z(m + -1)

Reorder the terms:
mu + 11u + (mw + -12w) = z(m + -1)
mu + 11u + (mw + -12w) = z(m + -1)

Reorder the terms:
mu + mw + 11u + -12w = z(m + -1)

Reorder the terms:
mu + mw + 11u + -12w = z(-1 + m)
mu + mw + 11u + -12w = (-1 * z + m * z)

Reorder the terms:
mu + mw + 11u + -12w = (mz + -1z)
mu + mw + 11u + -12w = (mz + -1z)

Solving
mu + mw + 11u + -12w = 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 + 11u + -1mz + -12w = mz + -1mz + -1z

Reorder the terms:
mu + mw + -1mz + 11u + -12w = mz + -1mz + -1z

Combine like terms: mz + -1mz = 0
mu + mw + -1mz + 11u + -12w = 0 + -1z
mu + mw + -1mz + 11u + -12w = -1z

Add '-11u' to each side of the equation.
mu + mw + -1mz + 11u + -11u + -12w = -11u + -1z

Combine like terms: 11u + -11u = 0
mu + mw + -1mz + 0 + -12w = -11u + -1z
mu + mw + -1mz + -12w = -11u + -1z

Add '12w' to each side of the equation.
mu + mw + -1mz + -12w + 12w = -11u + 12w + -1z

Combine like terms: -12w + 12w = 0
mu + mw + -1mz + 0 = -11u + 12w + -1z
mu + mw + -1mz = -11u + 12w + -1z

Reorder the terms:
mu + mw + -1mz + 11u + -12w + z = -11u + 11u + 12w + -12w + -1z + z

Combine like terms: -11u + 11u = 0
mu + mw + -1mz + 11u + -12w + z = 0 + 12w + -12w + -1z + z
mu + mw + -1mz + 11u + -12w + z = 12w + -12w + -1z + z

Combine like terms: 12w + -12w = 0
mu + mw + -1mz + 11u + -12w + z = 0 + -1z + z
mu + mw + -1mz + 11u + -12w + z = -1z + z

Combine like terms: -1z + z = 0
mu + mw + -1mz + 11u + -12w + z = 0

The solution to this equation could not be determined.