0.2n+9=8(0.4n-1)

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Solution for 0.2n+9=8(0.4n-1) equation: 


Simplifying
0.2n + 9 = 8(0.4n + -1)

Reorder the terms:
9 + 0.2n = 8(0.4n + -1)

Reorder the terms:
9 + 0.2n = 8(-1 + 0.4n)
9 + 0.2n = (-1 * 8 + 0.4n * 8)
9 + 0.2n = (-8 + 3.2n)

Solving
9 + 0.2n = -8 + 3.2n

Solving for variable 'n'.

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

Add '-3.2n' to each side of the equation.
9 + 0.2n + -3.2n = -8 + 3.2n + -3.2n

Combine like terms: 0.2n + -3.2n = -3n
9 + -3n = -8 + 3.2n + -3.2n

Combine like terms: 3.2n + -3.2n = 0.0
9 + -3n = -8 + 0.0
9 + -3n = -8

Add '-9' to each side of the equation.
9 + -9 + -3n = -8 + -9

Combine like terms: 9 + -9 = 0
0 + -3n = -8 + -9
-3n = -8 + -9

Combine like terms: -8 + -9 = -17
-3n = -17

Divide each side by '-3'.
n = 5.666666667

Simplifying
n = 5.666666667

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