9(n-3.2)=2(n+0.3)

Solution for 9(n-3.2)=2(n+0.3) equation:

Simplifying
9(n + -3.2) = 2(n + 0.3)

Reorder the terms:
9(-3.2 + n) = 2(n + 0.3)
(-3.2 * 9 + n * 9) = 2(n + 0.3)
(-28.8 + 9n) = 2(n + 0.3)

Reorder the terms:
-28.8 + 9n = 2(0.3 + n)
-28.8 + 9n = (0.3 * 2 + n * 2)
-28.8 + 9n = (0.6 + 2n)

Solving
-28.8 + 9n = 0.6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-28.8 + 9n + -2n = 0.6 + 2n + -2n

Combine like terms: 9n + -2n = 7n
-28.8 + 7n = 0.6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-28.8 + 7n = 0.6 + 0
-28.8 + 7n = 0.6

Add '28.8' to each side of the equation.
-28.8 + 28.8 + 7n = 0.6 + 28.8

Combine like terms: -28.8 + 28.8 = 0.0
0.0 + 7n = 0.6 + 28.8
7n = 0.6 + 28.8

Combine like terms: 0.6 + 28.8 = 29.4
7n = 29.4

Divide each side by '7'.
n = 4.2

Simplifying
n = 4.2