5-3(4-2M)4(m-3)=-3

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Solution for 5-3(4-2M)4(m-3)=-3 equation: 


Simplifying
5 + -3(4 + -2M) * 4(m + -3) = -3

Reorder the terms:
5 + -3(4 + -2M) * 4(-3 + m) = -3

Reorder the terms for easier multiplication:
5 + -3 * 4(4 + -2M)(-3 + m) = -3

Multiply -3 * 4
5 + -12(4 + -2M)(-3 + m) = -3

Multiply (4 + -2M) * (-3 + m)
5 + -12(4(-3 + m) + -2M * (-3 + m)) = -3
5 + -12((-3 * 4 + m * 4) + -2M * (-3 + m)) = -3
5 + -12((-12 + 4m) + -2M * (-3 + m)) = -3
5 + -12(-12 + 4m + (-3 * -2M + m * -2M)) = -3
5 + -12(-12 + 4m + (6M + -2mM)) = -3

Reorder the terms:
5 + -12(-12 + 6M + 4m + -2mM) = -3
5 + -12(-12 + 6M + 4m + -2mM) = -3
5 + (-12 * -12 + 6M * -12 + 4m * -12 + -2mM * -12) = -3
5 + (144 + -72M + -48m + 24mM) = -3

Combine like terms: 5 + 144 = 149
149 + -72M + -48m + 24mM = -3

Solving
149 + -72M + -48m + 24mM = -3

Solving for variable 'M'.

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

Add '-149' to each side of the equation.
149 + -72M + -48m + -149 + 24mM = -3 + -149

Reorder the terms:
149 + -149 + -72M + -48m + 24mM = -3 + -149

Combine like terms: 149 + -149 = 0
0 + -72M + -48m + 24mM = -3 + -149
-72M + -48m + 24mM = -3 + -149

Combine like terms: -3 + -149 = -152
-72M + -48m + 24mM = -152

Add '48m' to each side of the equation.
-72M + -48m + 48m + 24mM = -152 + 48m

Combine like terms: -48m + 48m = 0
-72M + 0 + 24mM = -152 + 48m
-72M + 24mM = -152 + 48m

Reorder the terms:
152 + -72M + -48m + 24mM = -152 + 48m + 152 + -48m

Reorder the terms:
152 + -72M + -48m + 24mM = -152 + 152 + 48m + -48m

Combine like terms: -152 + 152 = 0
152 + -72M + -48m + 24mM = 0 + 48m + -48m
152 + -72M + -48m + 24mM = 48m + -48m

Combine like terms: 48m + -48m = 0
152 + -72M + -48m + 24mM = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(19 + -9M + -6m + 3mM) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(19 + -9M + -6m + 3mM)' equal to zero and attempt to solve:

Simplifying
19 + -9M + -6m + 3mM = 0

Solving
19 + -9M + -6m + 3mM = 0

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

Add '-19' to each side of the equation.
19 + -9M + -6m + -19 + 3mM = 0 + -19

Reorder the terms:
19 + -19 + -9M + -6m + 3mM = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -9M + -6m + 3mM = 0 + -19
-9M + -6m + 3mM = 0 + -19

Combine like terms: 0 + -19 = -19
-9M + -6m + 3mM = -19

Add '6m' to each side of the equation.
-9M + -6m + 6m + 3mM = -19 + 6m

Combine like terms: -6m + 6m = 0
-9M + 0 + 3mM = -19 + 6m
-9M + 3mM = -19 + 6m

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.

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