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

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


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

Combine like terms: -0.09m + -22m = -22.09m
0.015m + 1.75n + -0.8(-22.09m) = 0

Remove parenthesis around (-22.09m)
0.015m + 1.75n + -0.8 * -22.09m = 0

Multiply -0.8 * -22.09
0.015m + 1.75n + 17.672m = 0

Reorder the terms:
0.015m + 17.672m + 1.75n = 0

Combine like terms: 0.015m + 17.672m = 17.687m
17.687m + 1.75n = 0

Solving
17.687m + 1.75n = 0

Solving for variable 'm'.

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

Add '-1.75n' to each side of the equation.
17.687m + 1.75n + -1.75n = 0 + -1.75n

Combine like terms: 1.75n + -1.75n = 0.00
17.687m + 0.00 = 0 + -1.75n
17.687m = 0 + -1.75n
Remove the zero:
17.687m = -1.75n

Divide each side by '17.687'.
m = -0.0989427263n

Simplifying
m = -0.0989427263n

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