0.07n+17.4=0.4n-9

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Solution for 0.07n+17.4=0.4n-9 equation: 


Simplifying
0.07n + 17.4 = 0.4n + -9

Reorder the terms:
17.4 + 0.07n = 0.4n + -9

Reorder the terms:
17.4 + 0.07n = -9 + 0.4n

Solving
17.4 + 0.07n = -9 + 0.4n

Solving for variable 'n'.

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

Add '-0.4n' to each side of the equation.
17.4 + 0.07n + -0.4n = -9 + 0.4n + -0.4n

Combine like terms: 0.07n + -0.4n = -0.33n
17.4 + -0.33n = -9 + 0.4n + -0.4n

Combine like terms: 0.4n + -0.4n = 0.0
17.4 + -0.33n = -9 + 0.0
17.4 + -0.33n = -9

Add '-17.4' to each side of the equation.
17.4 + -17.4 + -0.33n = -9 + -17.4

Combine like terms: 17.4 + -17.4 = 0.0
0.0 + -0.33n = -9 + -17.4
-0.33n = -9 + -17.4

Combine like terms: -9 + -17.4 = -26.4
-0.33n = -26.4

Divide each side by '-0.33'.
n = 80

Simplifying
n = 80

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