6-(n+2)=-8n+1

Solution for 6-(n+2)=-8n+1 equation:

Simplifying
6 + -1(n + 2) = -8n + 1

Reorder the terms:
6 + -1(2 + n) = -8n + 1
6 + (2 * -1 + n * -1) = -8n + 1
6 + (-2 + -1n) = -8n + 1

Combine like terms: 6 + -2 = 4
4 + -1n = -8n + 1

Reorder the terms:
4 + -1n = 1 + -8n

Solving
4 + -1n = 1 + -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.
4 + -1n + 8n = 1 + -8n + 8n

Combine like terms: -1n + 8n = 7n
4 + 7n = 1 + -8n + 8n

Combine like terms: -8n + 8n = 0
4 + 7n = 1 + 0
4 + 7n = 1

Add '-4' to each side of the equation.
4 + -4 + 7n = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 7n = 1 + -4
7n = 1 + -4

Combine like terms: 1 + -4 = -3
7n = -3

Divide each side by '7'.
n = -0.4285714286

Simplifying
n = -0.4285714286