-19=3(n+2)-(1-3n)

Solution for -19=3(n+2)-(1-3n) equation:

Simplifying
-19 = 3(n + 2) + -1(1 + -3n)

Reorder the terms:
-19 = 3(2 + n) + -1(1 + -3n)
-19 = (2 * 3 + n * 3) + -1(1 + -3n)
-19 = (6 + 3n) + -1(1 + -3n)
-19 = 6 + 3n + (1 * -1 + -3n * -1)
-19 = 6 + 3n + (-1 + 3n)

Reorder the terms:
-19 = 6 + -1 + 3n + 3n

Combine like terms: 6 + -1 = 5
-19 = 5 + 3n + 3n

Combine like terms: 3n + 3n = 6n
-19 = 5 + 6n

Solving
-19 = 5 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-19 + -6n = 5 + 6n + -6n

Combine like terms: 6n + -6n = 0
-19 + -6n = 5 + 0
-19 + -6n = 5

Add '19' to each side of the equation.
-19 + 19 + -6n = 5 + 19

Combine like terms: -19 + 19 = 0
0 + -6n = 5 + 19
-6n = 5 + 19

Combine like terms: 5 + 19 = 24
-6n = 24

Divide each side by '-6'.
n = -4

Simplifying
n = -4