3(2n+1.2)=6(3n-2.8)

Solution for 3(2n+1.2)=6(3n-2.8) equation:

Simplifying
3(2n + 1.2) = 6(3n + -2.8)

Reorder the terms:
3(1.2 + 2n) = 6(3n + -2.8)
(1.2 * 3 + 2n * 3) = 6(3n + -2.8)
(3.6 + 6n) = 6(3n + -2.8)

Reorder the terms:
3.6 + 6n = 6(-2.8 + 3n)
3.6 + 6n = (-2.8 * 6 + 3n * 6)
3.6 + 6n = (-16.8 + 18n)

Solving
3.6 + 6n = -16.8 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
3.6 + 6n + -18n = -16.8 + 18n + -18n

Combine like terms: 6n + -18n = -12n
3.6 + -12n = -16.8 + 18n + -18n

Combine like terms: 18n + -18n = 0
3.6 + -12n = -16.8 + 0
3.6 + -12n = -16.8

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -12n = -16.8 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -12n = -16.8 + -3.6
-12n = -16.8 + -3.6

Combine like terms: -16.8 + -3.6 = -20.4
-12n = -20.4

Divide each side by '-12'.
n = 1.7

Simplifying
n = 1.7