[.5*(4+n)]*6=72

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Solution for [.5*(4+n)]*6=72 equation: 


Simplifying
[0.5(4 + n)] * 6 = 72
[(4 * 0.5 + n * 0.5)] * 6 = 72
[(2 + 0.5n)] * 6 = 72

Reorder the terms for easier multiplication:
6[2 + 0.5n] = 72
[2 * 6 + 0.5n * 6] = 72
[12 + 3n] = 72

Solving
12 + 3n = 72

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 3n = 72 + -12

Combine like terms: 12 + -12 = 0
0 + 3n = 72 + -12
3n = 72 + -12

Combine like terms: 72 + -12 = 60
3n = 60

Divide each side by '3'.
n = 20

Simplifying
n = 20

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