0.4n+.1=0.5n+2

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Solution for 0.4n+.1=0.5n+2 equation: 


Simplifying
0.4n + 0.1 = 0.5n + 2

Reorder the terms:
0.1 + 0.4n = 0.5n + 2

Reorder the terms:
0.1 + 0.4n = 2 + 0.5n

Solving
0.1 + 0.4n = 2 + 0.5n

Solving for variable 'n'.

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

Add '-0.5n' to each side of the equation.
0.1 + 0.4n + -0.5n = 2 + 0.5n + -0.5n

Combine like terms: 0.4n + -0.5n = -0.1n
0.1 + -0.1n = 2 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
0.1 + -0.1n = 2 + 0.0
0.1 + -0.1n = 2

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.1n = 2 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.1n = 2 + -0.1
-0.1n = 2 + -0.1

Combine like terms: 2 + -0.1 = 1.9
-0.1n = 1.9

Divide each side by '-0.1'.
n = -19

Simplifying
n = -19

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