-3(1+3n)+n=61

Solution for -3(1+3n)+n=61 equation:

Simplifying
-3(1 + 3n) + n = 61
(1 * -3 + 3n * -3) + n = 61
(-3 + -9n) + n = 61

Combine like terms: -9n + n = -8n
-3 + -8n = 61

Solving
-3 + -8n = 61

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + -8n = 61 + 3

Combine like terms: -3 + 3 = 0
0 + -8n = 61 + 3
-8n = 61 + 3

Combine like terms: 61 + 3 = 64
-8n = 64

Divide each side by '-8'.
n = -8

Simplifying
n = -8