8k-(6k+k)=-(2k+6)

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

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

Combine like terms: 6k + k = 7k
8k + -1(7k) = -1(2k + 6)

Remove parenthesis around (7k)
8k + -1 * 7k = -1(2k + 6)

Multiply -1 * 7
8k + -7k = -1(2k + 6)

Combine like terms: 8k + -7k = 1k
1k = -1(2k + 6)

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

Solving
1k = -6 + -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
1k + 2k = -6 + -2k + 2k

Combine like terms: 1k + 2k = 3k
3k = -6 + -2k + 2k

Combine like terms: -2k + 2k = 0
3k = -6 + 0
3k = -6

Divide each side by '3'.
k = -2

Simplifying
k = -2