-8n+3(1+5n)=-6-14

Solution for -8n+3(1+5n)=-6-14 equation:

Simplifying
-8n + 3(1 + 5n) = -6 + -14
-8n + (1 * 3 + 5n * 3) = -6 + -14
-8n + (3 + 15n) = -6 + -14

Reorder the terms:
3 + -8n + 15n = -6 + -14

Combine like terms: -8n + 15n = 7n
3 + 7n = -6 + -14

Combine like terms: -6 + -14 = -20
3 + 7n = -20

Solving
3 + 7n = -20

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 + 7n = -20 + -3

Combine like terms: 3 + -3 = 0
0 + 7n = -20 + -3
7n = -20 + -3

Combine like terms: -20 + -3 = -23
7n = -23

Divide each side by '7'.
n = -3.285714286

Simplifying
n = -3.285714286