20(0.2n+0.28)=3.98-(0.3-3.92n)

Solution for 20(0.2n+0.28)=3.98-(0.3-3.92n) equation:

Simplifying
20(0.2n + 0.28) = 3.98 + -1(0.3 + -3.92n)

Reorder the terms:
20(0.28 + 0.2n) = 3.98 + -1(0.3 + -3.92n)
(0.28 * 20 + 0.2n * 20) = 3.98 + -1(0.3 + -3.92n)
(5.6 + 4n) = 3.98 + -1(0.3 + -3.92n)
5.6 + 4n = 3.98 + (0.3 * -1 + -3.92n * -1)
5.6 + 4n = 3.98 + (-0.3 + 3.92n)

Combine like terms: 3.98 + -0.3 = 3.68
5.6 + 4n = 3.68 + 3.92n

Solving
5.6 + 4n = 3.68 + 3.92n

Solving for variable 'n'.

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

Add '-3.92n' to each side of the equation.
5.6 + 4n + -3.92n = 3.68 + 3.92n + -3.92n

Combine like terms: 4n + -3.92n = 0.08n
5.6 + 0.08n = 3.68 + 3.92n + -3.92n

Combine like terms: 3.92n + -3.92n = 0.00
5.6 + 0.08n = 3.68 + 0.00
5.6 + 0.08n = 3.68

Add '-5.6' to each side of the equation.
5.6 + -5.6 + 0.08n = 3.68 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + 0.08n = 3.68 + -5.6
0.08n = 3.68 + -5.6

Combine like terms: 3.68 + -5.6 = -1.92
0.08n = -1.92

Divide each side by '0.08'.
n = -24

Simplifying
n = -24