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

Combine like terms: 9 + -8 = 1
0.2n = 1 + 3.2n

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

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

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

Divide each side by '-3'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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