Verified Answer :

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Step 1-
Simplifying
8m + 14 + -12 + 4n = 0

 Step 2-
Reorder the terms:
14 + -12 + 8m + 4n = 0

Step 3-
Combine like terms: 14 + -12 = 2
2 + 8m + 4n = 0

Solving
2 + 8m + 4n = 0

Solving for variable 'm'.

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


Step 4-
Add '-2' to each side of the equation.
2 + 8m + -2 + 4n = 0 + -2

 Step 5-
Reorder the terms:
2 + -2 + 8m + 4n = 0 + -2

 Step 6-
Combine like terms: 2 + -2 = 0
0 + 8m + 4n = 0 + -2
8m + 4n = 0 + -2

Combine like terms: 0 + -2 = -2
8m + 4n = -2

 Step 7-
Add '-4n' to each side of the equation.
8m + 4n + -4n = -2 + -4n

 Step 8-
Combine like terms: 4n + -4n = 0
8m + 0 = -2 + -4n
8m = -2 + -4n

 Step 9-
Divide each side by '8'.
m = -0.25 + -0.5n

 Step 10-
Simplifying
m = -0.25 + -0.5n