-6(1-3n)+4n=3(7n+1)

Solution for -6(1-3n)+4n=3(7n+1) equation:

Simplifying
-6(1 + -3n) + 4n = 3(7n + 1)
(1 * -6 + -3n * -6) + 4n = 3(7n + 1)
(-6 + 18n) + 4n = 3(7n + 1)

Combine like terms: 18n + 4n = 22n
-6 + 22n = 3(7n + 1)

Reorder the terms:
-6 + 22n = 3(1 + 7n)
-6 + 22n = (1 * 3 + 7n * 3)
-6 + 22n = (3 + 21n)

Solving
-6 + 22n = 3 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
-6 + 22n + -21n = 3 + 21n + -21n

Combine like terms: 22n + -21n = 1n
-6 + 1n = 3 + 21n + -21n

Combine like terms: 21n + -21n = 0
-6 + 1n = 3 + 0
-6 + 1n = 3

Add '6' to each side of the equation.
-6 + 6 + 1n = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 1n = 3 + 6
1n = 3 + 6

Combine like terms: 3 + 6 = 9
1n = 9

Divide each side by '1'.
n = 9

Simplifying
n = 9