10m+3n-2m+5m-12-14m+5n=

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Solution for 10m+3n-2m+5m-12-14m+5n= equation:


Simplifying
10m + 3n + -2m + 5m + -12 + -14m + 5n = 0

Reorder the terms:
-12 + 10m + -2m + 5m + -14m + 3n + 5n = 0

Combine like terms: 10m + -2m = 8m
-12 + 8m + 5m + -14m + 3n + 5n = 0

Combine like terms: 8m + 5m = 13m
-12 + 13m + -14m + 3n + 5n = 0

Combine like terms: 13m + -14m = -1m
-12 + -1m + 3n + 5n = 0

Combine like terms: 3n + 5n = 8n
-12 + -1m + 8n = 0

Solving
-12 + -1m + 8n = 0

Solving for variable 'm'.

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

Add '12' to each side of the equation.
-12 + -1m + 12 + 8n = 0 + 12

Reorder the terms:
-12 + 12 + -1m + 8n = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1m + 8n = 0 + 12
-1m + 8n = 0 + 12

Combine like terms: 0 + 12 = 12
-1m + 8n = 12

Add '-8n' to each side of the equation.
-1m + 8n + -8n = 12 + -8n

Combine like terms: 8n + -8n = 0
-1m + 0 = 12 + -8n
-1m = 12 + -8n

Divide each side by '-1'.
m = -12 + 8n

Simplifying
m = -12 + 8n

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