.4(n+2.4)=1.6n+6

Solution for .4(n+2.4)=1.6n+6 equation:

Simplifying
0.4(n + 2.4) = 1.6n + 6

Reorder the terms:
0.4(2.4 + n) = 1.6n + 6
(2.4 * 0.4 + n * 0.4) = 1.6n + 6
(0.96 + 0.4n) = 1.6n + 6

Reorder the terms:
0.96 + 0.4n = 6 + 1.6n

Solving
0.96 + 0.4n = 6 + 1.6n

Solving for variable 'n'.

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

Add '-1.6n' to each side of the equation.
0.96 + 0.4n + -1.6n = 6 + 1.6n + -1.6n

Combine like terms: 0.4n + -1.6n = -1.2n
0.96 + -1.2n = 6 + 1.6n + -1.6n

Combine like terms: 1.6n + -1.6n = 0.0
0.96 + -1.2n = 6 + 0.0
0.96 + -1.2n = 6

Add '-0.96' to each side of the equation.
0.96 + -0.96 + -1.2n = 6 + -0.96

Combine like terms: 0.96 + -0.96 = 0.00
0.00 + -1.2n = 6 + -0.96
-1.2n = 6 + -0.96

Combine like terms: 6 + -0.96 = 5.04
-1.2n = 5.04

Divide each side by '-1.2'.
n = -4.2

Simplifying
n = -4.2