2(n+.3)=9(n-3.2)

Solution for 2(n+.3)=9(n-3.2) equation:

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

Reorder the terms:
2(0.3 + n) = 9(n + -3.2)
(0.3 * 2 + n * 2) = 9(n + -3.2)
(0.6 + 2n) = 9(n + -3.2)

Reorder the terms:
0.6 + 2n = 9(-3.2 + n)
0.6 + 2n = (-3.2 * 9 + n * 9)
0.6 + 2n = (-28.8 + 9n)

Solving
0.6 + 2n = -28.8 + 9n

Solving for variable 'n'.

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

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

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

Combine like terms: 9n + -9n = 0
0.6 + -7n = -28.8 + 0
0.6 + -7n = -28.8

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

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

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

Divide each side by '-7'.
n = 4.2

Simplifying
n = 4.2