.3n+2.4(4n-1)=.4+.5n

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Solution for .3n+2.4(4n-1)=.4+.5n equation: 


Simplifying
0.3n + 2.4(4n + -1) = 0.4 + 0.5n

Reorder the terms:
0.3n + 2.4(-1 + 4n) = 0.4 + 0.5n
0.3n + (-1 * 2.4 + 4n * 2.4) = 0.4 + 0.5n
0.3n + (-2.4 + 9.6n) = 0.4 + 0.5n

Reorder the terms:
-2.4 + 0.3n + 9.6n = 0.4 + 0.5n

Combine like terms: 0.3n + 9.6n = 9.9n
-2.4 + 9.9n = 0.4 + 0.5n

Solving
-2.4 + 9.9n = 0.4 + 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.
-2.4 + 9.9n + -0.5n = 0.4 + 0.5n + -0.5n

Combine like terms: 9.9n + -0.5n = 9.4n
-2.4 + 9.4n = 0.4 + 0.5n + -0.5n

Combine like terms: 0.5n + -0.5n = 0.0
-2.4 + 9.4n = 0.4 + 0.0
-2.4 + 9.4n = 0.4

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 9.4n = 0.4 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 9.4n = 0.4 + 2.4
9.4n = 0.4 + 2.4

Combine like terms: 0.4 + 2.4 = 2.8
9.4n = 2.8

Divide each side by '9.4'.
n = 0.2978723404

Simplifying
n = 0.2978723404

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