3m-10=z(4m-5)

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Solution for 3m-10=z(4m-5) equation:


Simplifying
3m + -10 = z(4m + -5)

Reorder the terms:
-10 + 3m = z(4m + -5)

Reorder the terms:
-10 + 3m = z(-5 + 4m)
-10 + 3m = (-5 * z + 4m * z)

Reorder the terms:
-10 + 3m = (4mz + -5z)
-10 + 3m = (4mz + -5z)

Solving
-10 + 3m = 4mz + -5z

Solving for variable 'm'.

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

Add '-4mz' to each side of the equation.
-10 + 3m + -4mz = 4mz + -4mz + -5z

Combine like terms: 4mz + -4mz = 0
-10 + 3m + -4mz = 0 + -5z
-10 + 3m + -4mz = -5z

Add '10' to each side of the equation.
-10 + 3m + 10 + -4mz = 10 + -5z

Reorder the terms:
-10 + 10 + 3m + -4mz = 10 + -5z

Combine like terms: -10 + 10 = 0
0 + 3m + -4mz = 10 + -5z
3m + -4mz = 10 + -5z

Reorder the terms:
-10 + 3m + -4mz + 5z = 10 + -5z + -10 + 5z

Reorder the terms:
-10 + 3m + -4mz + 5z = 10 + -10 + -5z + 5z

Combine like terms: 10 + -10 = 0
-10 + 3m + -4mz + 5z = 0 + -5z + 5z
-10 + 3m + -4mz + 5z = -5z + 5z

Combine like terms: -5z + 5z = 0
-10 + 3m + -4mz + 5z = 0

The solution to this equation could not be determined.

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