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

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


Simplifying
5(2m + -3n) + -2(4m + n) = 0
(2m * 5 + -3n * 5) + -2(4m + n) = 0
(10m + -15n) + -2(4m + n) = 0
10m + -15n + (4m * -2 + n * -2) = 0
10m + -15n + (-8m + -2n) = 0

Reorder the terms:
10m + -8m + -15n + -2n = 0

Combine like terms: 10m + -8m = 2m
2m + -15n + -2n = 0

Combine like terms: -15n + -2n = -17n
2m + -17n = 0

Solving
2m + -17n = 0

Solving for variable 'm'.

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

Add '17n' to each side of the equation.
2m + -17n + 17n = 0 + 17n

Combine like terms: -17n + 17n = 0
2m + 0 = 0 + 17n
2m = 0 + 17n
Remove the zero:
2m = 17n

Divide each side by '2'.
m = 8.5n

Simplifying
m = 8.5n

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