2.2(3.8n+3)=7.24n+2.44n

Solution for 2.2(3.8n+3)=7.24n+2.44n equation:

Simplifying
2.2(3.8n + 3) = 7.24n + 2.44n

Reorder the terms:
2.2(3 + 3.8n) = 7.24n + 2.44n
(3 * 2.2 + 3.8n * 2.2) = 7.24n + 2.44n
(6.6 + 8.36n) = 7.24n + 2.44n

Combine like terms: 7.24n + 2.44n = 9.68n
6.6 + 8.36n = 9.68n

Solving
6.6 + 8.36n = 9.68n

Solving for variable 'n'.

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

Add '-9.68n' to each side of the equation.
6.6 + 8.36n + -9.68n = 9.68n + -9.68n

Combine like terms: 8.36n + -9.68n = -1.32n
6.6 + -1.32n = 9.68n + -9.68n

Combine like terms: 9.68n + -9.68n = 0.00
6.6 + -1.32n = 0.00

Add '-6.6' to each side of the equation.
6.6 + -6.6 + -1.32n = 0.00 + -6.6

Combine like terms: 6.6 + -6.6 = 0.0
0.0 + -1.32n = 0.00 + -6.6
-1.32n = 0.00 + -6.6

Combine like terms: 0.00 + -6.6 = -6.6
-1.32n = -6.6

Divide each side by '-1.32'.
n = 5

Simplifying
n = 5