0.05(0.3m+35n)-0.8(0.09n-22m)=

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Solution for 0.05(0.3m+35n)-0.8(0.09n-22m)= equation: 


Simplifying
0.05(0.3m + 35n) + -0.8(0.09n + -22m) = 0
(0.3m * 0.05 + 35n * 0.05) + -0.8(0.09n + -22m) = 0
(0.015m + 1.75n) + -0.8(0.09n + -22m) = 0

Reorder the terms:
0.015m + 1.75n + -0.8(-22m + 0.09n) = 0
0.015m + 1.75n + (-22m * -0.8 + 0.09n * -0.8) = 0
0.015m + 1.75n + (17.6m + -0.072n) = 0

Reorder the terms:
0.015m + 17.6m + 1.75n + -0.072n = 0

Combine like terms: 0.015m + 17.6m = 17.615m
17.615m + 1.75n + -0.072n = 0

Combine like terms: 1.75n + -0.072n = 1.678n
17.615m + 1.678n = 0

Solving
17.615m + 1.678n = 0

Solving for variable 'm'.

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

Add '-1.678n' to each side of the equation.
17.615m + 1.678n + -1.678n = 0 + -1.678n

Combine like terms: 1.678n + -1.678n = 0.000
17.615m + 0.000 = 0 + -1.678n
17.615m = 0 + -1.678n
Remove the zero:
17.615m = -1.678n

Divide each side by '17.615'.
m = -0.09525972183n

Simplifying
m = -0.09525972183n

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