5(2m-n)+2(3m+4n)=

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Solution for 5(2m-n)+2(3m+4n)= equation:


Simplifying
5(2m + -1n) + 2(3m + 4n) = 0
(2m * 5 + -1n * 5) + 2(3m + 4n) = 0
(10m + -5n) + 2(3m + 4n) = 0
10m + -5n + (3m * 2 + 4n * 2) = 0
10m + -5n + (6m + 8n) = 0

Reorder the terms:
10m + 6m + -5n + 8n = 0

Combine like terms: 10m + 6m = 16m
16m + -5n + 8n = 0

Combine like terms: -5n + 8n = 3n
16m + 3n = 0

Solving
16m + 3n = 0

Solving for variable 'm'.

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

Add '-3n' to each side of the equation.
16m + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
16m + 0 = 0 + -3n
16m = 0 + -3n
Remove the zero:
16m = -3n

Divide each side by '16'.
m = -0.1875n

Simplifying
m = -0.1875n

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