(-10mn^3-4n^4)-(-2n^4-7mn^3-6n^3)-(5n^3+6mn^3)=0

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Solution for (-10mn^3-4n^4)-(-2n^4-7mn^3-6n^3)-(5n^3+6mn^3)=0 equation: 


Simplifying
(-10mn3 + -4n4) + -1(-2n4 + -7mn3 + -6n3) + -1(5n3 + 6mn3) = 0

Remove parenthesis around (-10mn3 + -4n4)
-10mn3 + -4n4 + -1(-2n4 + -7mn3 + -6n3) + -1(5n3 + 6mn3) = 0

Reorder the terms:
-10mn3 + -4n4 + -1(-7mn3 + -6n3 + -2n4) + -1(5n3 + 6mn3) = 0
-10mn3 + -4n4 + (-7mn3 * -1 + -6n3 * -1 + -2n4 * -1) + -1(5n3 + 6mn3) = 0
-10mn3 + -4n4 + (7mn3 + 6n3 + 2n4) + -1(5n3 + 6mn3) = 0

Reorder the terms:
-10mn3 + -4n4 + 7mn3 + 6n3 + 2n4 + -1(6mn3 + 5n3) = 0
-10mn3 + -4n4 + 7mn3 + 6n3 + 2n4 + (6mn3 * -1 + 5n3 * -1) = 0
-10mn3 + -4n4 + 7mn3 + 6n3 + 2n4 + (-6mn3 + -5n3) = 0

Reorder the terms:
-10mn3 + 7mn3 + -6mn3 + 6n3 + -5n3 + -4n4 + 2n4 = 0

Combine like terms: -10mn3 + 7mn3 = -3mn3
-3mn3 + -6mn3 + 6n3 + -5n3 + -4n4 + 2n4 = 0

Combine like terms: -3mn3 + -6mn3 = -9mn3
-9mn3 + 6n3 + -5n3 + -4n4 + 2n4 = 0

Combine like terms: 6n3 + -5n3 = 1n3
-9mn3 + 1n3 + -4n4 + 2n4 = 0

Combine like terms: -4n4 + 2n4 = -2n4
-9mn3 + 1n3 + -2n4 = 0

Solving
-9mn3 + 1n3 + -2n4 = 0

Solving for variable 'm'.

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

Add '-1n3' to each side of the equation.
-9mn3 + 1n3 + -1n3 + -2n4 = 0 + -1n3

Combine like terms: 1n3 + -1n3 = 0
-9mn3 + 0 + -2n4 = 0 + -1n3
-9mn3 + -2n4 = 0 + -1n3
Remove the zero:
-9mn3 + -2n4 = -1n3

Add '2n4' to each side of the equation.
-9mn3 + -2n4 + 2n4 = -1n3 + 2n4

Combine like terms: -2n4 + 2n4 = 0
-9mn3 + 0 = -1n3 + 2n4
-9mn3 = -1n3 + 2n4

Divide each side by '-9n3'.
m = 0.1111111111 + -0.2222222222n

Simplifying
m = 0.1111111111 + -0.2222222222n

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