3[n+6(n+4m)+4m]=

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Solution for 3[n+6(n+4m)+4m]= equation: 


Simplifying
3[n + 6(n + 4m) + 4m] = 0

Reorder the terms:
3[n + 6(4m + n) + 4m] = 0
3[n + (4m * 6 + n * 6) + 4m] = 0
3[n + (24m + 6n) + 4m] = 0

Reorder the terms:
3[24m + 4m + n + 6n] = 0

Combine like terms: 24m + 4m = 28m
3[28m + n + 6n] = 0

Combine like terms: n + 6n = 7n
3[28m + 7n] = 0
[28m * 3 + 7n * 3] = 0
[84m + 21n] = 0

Solving
84m + 21n = 0

Solving for variable 'm'.

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

Add '-21n' to each side of the equation.
84m + 21n + -21n = 0 + -21n

Combine like terms: 21n + -21n = 0
84m + 0 = 0 + -21n
84m = 0 + -21n
Remove the zero:
84m = -21n

Divide each side by '84'.
m = -0.25n

Simplifying
m = -0.25n

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