7-(8n+1)=8n+6

Solution for 7-(8n+1)=8n+6 equation:

Simplifying
7 + -1(8n + 1) = 8n + 6

Reorder the terms:
7 + -1(1 + 8n) = 8n + 6
7 + (1 * -1 + 8n * -1) = 8n + 6
7 + (-1 + -8n) = 8n + 6

Combine like terms: 7 + -1 = 6
6 + -8n = 8n + 6

Reorder the terms:
6 + -8n = 6 + 8n

Add '-6' to each side of the equation.
6 + -6 + -8n = 6 + -6 + 8n

Combine like terms: 6 + -6 = 0
0 + -8n = 6 + -6 + 8n
-8n = 6 + -6 + 8n

Combine like terms: 6 + -6 = 0
-8n = 0 + 8n
-8n = 8n

Solving
-8n = 8n

Solving for variable 'n'.

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

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

Combine like terms: -8n + -8n = -16n
-16n = 8n + -8n

Combine like terms: 8n + -8n = 0
-16n = 0

Divide each side by '-16'.
n = 0

Simplifying
n = 0