n+3(4n+2)=3(1-3n)+3

Solution for n+3(4n+2)=3(1-3n)+3 equation:

Simplifying
n + 3(4n + 2) = 3(1 + -3n) + 3

Reorder the terms:
n + 3(2 + 4n) = 3(1 + -3n) + 3
n + (2 * 3 + 4n * 3) = 3(1 + -3n) + 3
n + (6 + 12n) = 3(1 + -3n) + 3

Reorder the terms:
6 + n + 12n = 3(1 + -3n) + 3

Combine like terms: n + 12n = 13n
6 + 13n = 3(1 + -3n) + 3
6 + 13n = (1 * 3 + -3n * 3) + 3
6 + 13n = (3 + -9n) + 3

Reorder the terms:
6 + 13n = 3 + 3 + -9n

Combine like terms: 3 + 3 = 6
6 + 13n = 6 + -9n

Add '-6' to each side of the equation.
6 + -6 + 13n = 6 + -6 + -9n

Combine like terms: 6 + -6 = 0
0 + 13n = 6 + -6 + -9n
13n = 6 + -6 + -9n

Combine like terms: 6 + -6 = 0
13n = 0 + -9n
13n = -9n

Solving
13n = -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
13n + 9n = -9n + 9n

Combine like terms: 13n + 9n = 22n
22n = -9n + 9n

Combine like terms: -9n + 9n = 0
22n = 0

Divide each side by '22'.
n = 0

Simplifying
n = 0