0.4n+0.1=0.5(n+2)

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Solution for 0.4n+0.1=0.5(n+2) equation: 


Simplifying
0.4n + 0.1 = 0.5(n + 2)

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

Reorder the terms:
0.1 + 0.4n = 0.5(2 + n)
0.1 + 0.4n = (2 * 0.5 + n * 0.5)
0.1 + 0.4n = (1 + 0.5n)

Solving
0.1 + 0.4n = 1 + 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 = 1 + 0.5n + -0.5n

Combine like terms: 0.4n + -0.5n = -0.1n
0.1 + -0.1n = 1 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
0.1 + -0.1n = 1 + 0.0
0.1 + -0.1n = 1

Add '-0.1' to each side of the equation.
0.1 + -0.1 + -0.1n = 1 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + -0.1n = 1 + -0.1
-0.1n = 1 + -0.1

Combine like terms: 1 + -0.1 = 0.9
-0.1n = 0.9

Divide each side by '-0.1'.
n = -9

Simplifying
n = -9

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