8n+6(5n+1)=6(-3n+1)+4n

Solution for 8n+6(5n+1)=6(-3n+1)+4n equation:

Simplifying
8n + 6(5n + 1) = 6(-3n + 1) + 4n

Reorder the terms:
8n + 6(1 + 5n) = 6(-3n + 1) + 4n
8n + (1 * 6 + 5n * 6) = 6(-3n + 1) + 4n
8n + (6 + 30n) = 6(-3n + 1) + 4n

Reorder the terms:
6 + 8n + 30n = 6(-3n + 1) + 4n

Combine like terms: 8n + 30n = 38n
6 + 38n = 6(-3n + 1) + 4n

Reorder the terms:
6 + 38n = 6(1 + -3n) + 4n
6 + 38n = (1 * 6 + -3n * 6) + 4n
6 + 38n = (6 + -18n) + 4n

Combine like terms: -18n + 4n = -14n
6 + 38n = 6 + -14n

Add '-6' to each side of the equation.
6 + -6 + 38n = 6 + -6 + -14n

Combine like terms: 6 + -6 = 0
0 + 38n = 6 + -6 + -14n
38n = 6 + -6 + -14n

Combine like terms: 6 + -6 = 0
38n = 0 + -14n
38n = -14n

Solving
38n = -14n

Solving for variable 'n'.

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

Add '14n' to each side of the equation.
38n + 14n = -14n + 14n

Combine like terms: 38n + 14n = 52n
52n = -14n + 14n

Combine like terms: -14n + 14n = 0
52n = 0

Divide each side by '52'.
n = 0

Simplifying
n = 0