10m+9=4m-9+8n

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Solution for 10m+9=4m-9+8n equation: 


Simplifying
10m + 9 = 4m + -9 + 8n

Reorder the terms:
9 + 10m = 4m + -9 + 8n

Reorder the terms:
9 + 10m = -9 + 4m + 8n

Solving
9 + 10m = -9 + 4m + 8n

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
9 + 10m + -4m = -9 + 4m + -4m + 8n

Combine like terms: 10m + -4m = 6m
9 + 6m = -9 + 4m + -4m + 8n

Combine like terms: 4m + -4m = 0
9 + 6m = -9 + 0 + 8n
9 + 6m = -9 + 8n

Add '-9' to each side of the equation.
9 + -9 + 6m = -9 + -9 + 8n

Combine like terms: 9 + -9 = 0
0 + 6m = -9 + -9 + 8n
6m = -9 + -9 + 8n

Combine like terms: -9 + -9 = -18
6m = -18 + 8n

Divide each side by '6'.
m = -3 + 1.333333333n

Simplifying
m = -3 + 1.333333333n

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