.5n+.1(.5n)=79.20

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Solution for .5n+.1(.5n)=79.20 equation: 


Simplifying
0.5n + 0.1(0.5n) = 79.20

Remove parenthesis around (0.5n)
0.5n + 0.1 * 0.5n = 79.20

Multiply 0.1 * 0.5
0.5n + 0.05n = 79.20

Combine like terms: 0.5n + 0.05n = 0.55n
0.55n = 79.20

Solving
0.55n = 79.20

Solving for variable 'n'.

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

Divide each side by '0.55'.
n = 144

Simplifying
n = 144

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