3.1(6.7+4.7n)=38.304+6.6n

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Solution for 3.1(6.7+4.7n)=38.304+6.6n equation: 


Simplifying
3.1(6.7 + 4.7n) = 38.304 + 6.6n
(6.7 * 3.1 + 4.7n * 3.1) = 38.304 + 6.6n
(20.77 + 14.57n) = 38.304 + 6.6n

Solving
20.77 + 14.57n = 38.304 + 6.6n

Solving for variable 'n'.

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

Add '-6.6n' to each side of the equation.
20.77 + 14.57n + -6.6n = 38.304 + 6.6n + -6.6n

Combine like terms: 14.57n + -6.6n = 7.97n
20.77 + 7.97n = 38.304 + 6.6n + -6.6n

Combine like terms: 6.6n + -6.6n = 0.0
20.77 + 7.97n = 38.304 + 0.0
20.77 + 7.97n = 38.304

Add '-20.77' to each side of the equation.
20.77 + -20.77 + 7.97n = 38.304 + -20.77

Combine like terms: 20.77 + -20.77 = 0.00
0.00 + 7.97n = 38.304 + -20.77
7.97n = 38.304 + -20.77

Combine like terms: 38.304 + -20.77 = 17.534
7.97n = 17.534

Divide each side by '7.97'.
n = 2.2

Simplifying
n = 2.2

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