(6-14n)=(28n)*378

Solution for (6-14n)=(28n)*378 equation:

Simplifying
(6 + -14n) = (28n) * 378

Remove parenthesis around (6 + -14n)
6 + -14n = (28n) * 378

Remove parenthesis around (28n)
6 + -14n = 28n * 378

Reorder the terms for easier multiplication:
6 + -14n = 28 * 378n

Multiply 28 * 378
6 + -14n = 10584n

Solving
6 + -14n = 10584n

Solving for variable 'n'.

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

Add '-10584n' to each side of the equation.
6 + -14n + -10584n = 10584n + -10584n

Combine like terms: -14n + -10584n = -10598n
6 + -10598n = 10584n + -10584n

Combine like terms: 10584n + -10584n = 0
6 + -10598n = 0

Add '-6' to each side of the equation.
6 + -6 + -10598n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -10598n = 0 + -6
-10598n = 0 + -6

Combine like terms: 0 + -6 = -6
-10598n = -6

Divide each side by '-10598'.
n = 0.0005661445556

Simplifying
n = 0.0005661445556