6(m-1)=3(-4mz-5)

Solution for 6(m-1)=3(-4mz-5) equation:

Simplifying
6(m + -1) = 3(-4mz + -5)

Reorder the terms:
6(-1 + m) = 3(-4mz + -5)
(-1 * 6 + m * 6) = 3(-4mz + -5)
(-6 + 6m) = 3(-4mz + -5)

Reorder the terms:
-6 + 6m = 3(-5 + -4mz)
-6 + 6m = (-5 * 3 + -4mz * 3)
-6 + 6m = (-15 + -12mz)

Solving
-6 + 6m = -15 + -12mz

Solving for variable 'm'.

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

Add '12mz' to each side of the equation.
-6 + 6m + 12mz = -15 + -12mz + 12mz

Combine like terms: -12mz + 12mz = 0
-6 + 6m + 12mz = -15 + 0
-6 + 6m + 12mz = -15

Add '6' to each side of the equation.
-6 + 6m + 6 + 12mz = -15 + 6

Reorder the terms:
-6 + 6 + 6m + 12mz = -15 + 6

Combine like terms: -6 + 6 = 0
0 + 6m + 12mz = -15 + 6
6m + 12mz = -15 + 6

Combine like terms: -15 + 6 = -9
6m + 12mz = -9

Reorder the terms:
9 + 6m + 12mz = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 6m + 12mz = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 2m + 4mz) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + 2m + 4mz)' equal to zero and attempt to solve:

Simplifying
3 + 2m + 4mz = 0

Solving
3 + 2m + 4mz = 0

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

Add '-3' to each side of the equation.
3 + 2m + -3 + 4mz = 0 + -3

Reorder the terms:
3 + -3 + 2m + 4mz = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2m + 4mz = 0 + -3
2m + 4mz = 0 + -3

Combine like terms: 0 + -3 = -3
2m + 4mz = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.