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

Remove parenthesis around (0.4n)
9 + 0.2n = 8 * 0.4n + -1

Multiply 8 * 0.4
9 + 0.2n = 3.2n + -1

Reorder the terms:
9 + 0.2n = -1 + 3.2n

Solving
9 + 0.2n = -1 + 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 = -1 + 3.2n + -3.2n

Combine like terms: 0.2n + -3.2n = -3n
9 + -3n = -1 + 3.2n + -3.2n

Combine like terms: 3.2n + -3.2n = 0.0
9 + -3n = -1 + 0.0
9 + -3n = -1

Add '-9' to each side of the equation.
9 + -9 + -3n = -1 + -9

Combine like terms: 9 + -9 = 0
0 + -3n = -1 + -9
-3n = -1 + -9

Combine like terms: -1 + -9 = -10
-3n = -10

Divide each side by '-3'.
n = 3.333333333

Simplifying
n = 3.333333333

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