43.2=3.6(2.3n+2.8)

Solution for 43.2=3.6(2.3n+2.8) equation:

Simplifying
43.2 = 3.6(2.3n + 2.8)

Reorder the terms:
43.2 = 3.6(2.8 + 2.3n)
43.2 = (2.8 * 3.6 + 2.3n * 3.6)
43.2 = (10.08 + 8.28n)

Solving
43.2 = 10.08 + 8.28n

Solving for variable 'n'.

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

Add '-8.28n' to each side of the equation.
43.2 + -8.28n = 10.08 + 8.28n + -8.28n

Combine like terms: 8.28n + -8.28n = 0.00
43.2 + -8.28n = 10.08 + 0.00
43.2 + -8.28n = 10.08

Add '-43.2' to each side of the equation.
43.2 + -43.2 + -8.28n = 10.08 + -43.2

Combine like terms: 43.2 + -43.2 = 0.0
0.0 + -8.28n = 10.08 + -43.2
-8.28n = 10.08 + -43.2

Combine like terms: 10.08 + -43.2 = -33.12
-8.28n = -33.12

Divide each side by '-8.28'.
n = 4

Simplifying
n = 4