5m+-6n-56nm+89a+56=5

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Solution for 5m+-6n-56nm+89a+56=5 equation:


Simplifying
5m + -6n + -56nm + 89a + 56 = 5

Reorder the terms:
56 + 89a + 5m + -56mn + -6n = 5

Solving
56 + 89a + 5m + -56mn + -6n = 5

Solving for variable 'a'.

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

Add '-56' to each side of the equation.
56 + 89a + 5m + -56mn + -56 + -6n = 5 + -56

Reorder the terms:
56 + -56 + 89a + 5m + -56mn + -6n = 5 + -56

Combine like terms: 56 + -56 = 0
0 + 89a + 5m + -56mn + -6n = 5 + -56
89a + 5m + -56mn + -6n = 5 + -56

Combine like terms: 5 + -56 = -51
89a + 5m + -56mn + -6n = -51

Add '-5m' to each side of the equation.
89a + 5m + -56mn + -5m + -6n = -51 + -5m

Reorder the terms:
89a + 5m + -5m + -56mn + -6n = -51 + -5m

Combine like terms: 5m + -5m = 0
89a + 0 + -56mn + -6n = -51 + -5m
89a + -56mn + -6n = -51 + -5m

Add '56mn' to each side of the equation.
89a + -56mn + 56mn + -6n = -51 + -5m + 56mn

Combine like terms: -56mn + 56mn = 0
89a + 0 + -6n = -51 + -5m + 56mn
89a + -6n = -51 + -5m + 56mn

Add '6n' to each side of the equation.
89a + -6n + 6n = -51 + -5m + 56mn + 6n

Combine like terms: -6n + 6n = 0
89a + 0 = -51 + -5m + 56mn + 6n
89a = -51 + -5m + 56mn + 6n

Divide each side by '89'.
a = -0.5730337079 + -0.05617977528m + 0.6292134831mn + 0.06741573034n

Simplifying
a = -0.5730337079 + -0.05617977528m + 0.6292134831mn + 0.06741573034n

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