-3n+3(5n+1)=3+n

Solution for -3n+3(5n+1)=3+n equation:

Simplifying
-3n + 3(5n + 1) = 3 + n

Reorder the terms:
-3n + 3(1 + 5n) = 3 + n
-3n + (1 * 3 + 5n * 3) = 3 + n
-3n + (3 + 15n) = 3 + n

Reorder the terms:
3 + -3n + 15n = 3 + n

Combine like terms: -3n + 15n = 12n
3 + 12n = 3 + n

Add '-3' to each side of the equation.
3 + -3 + 12n = 3 + -3 + n

Combine like terms: 3 + -3 = 0
0 + 12n = 3 + -3 + n
12n = 3 + -3 + n

Combine like terms: 3 + -3 = 0
12n = 0 + n
12n = n

Solving
12n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
12n + -1n = n + -1n

Combine like terms: 12n + -1n = 11n
11n = n + -1n

Combine like terms: n + -1n = 0
11n = 0

Divide each side by '11'.
n = 0

Simplifying
n = 0