4(2n+3m)+2(n-m)=

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Solution for 4(2n+3m)+2(n-m)= equation: 


Simplifying
4(2n + 3m) + 2(n + -1m) = 0

Reorder the terms:
4(3m + 2n) + 2(n + -1m) = 0
(3m * 4 + 2n * 4) + 2(n + -1m) = 0
(12m + 8n) + 2(n + -1m) = 0

Reorder the terms:
12m + 8n + 2(-1m + n) = 0
12m + 8n + (-1m * 2 + n * 2) = 0
12m + 8n + (-2m + 2n) = 0

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

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

Combine like terms: 8n + 2n = 10n
10m + 10n = 0

Solving
10m + 10n = 0

Solving for variable 'm'.

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

Add '-10n' to each side of the equation.
10m + 10n + -10n = 0 + -10n

Combine like terms: 10n + -10n = 0
10m + 0 = 0 + -10n
10m = 0 + -10n
Remove the zero:
10m = -10n

Divide each side by '10'.
m = -1n

Simplifying
m = -1n

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