7k-(k+6)+2k=22

Solution for 7k-(k+6)+2k=22 equation:

Simplifying
7k + -1(k + 6) + 2k = 22

Reorder the terms:
7k + -1(6 + k) + 2k = 22
7k + (6 * -1 + k * -1) + 2k = 22
7k + (-6 + -1k) + 2k = 22

Reorder the terms:
-6 + 7k + -1k + 2k = 22

Combine like terms: 7k + -1k = 6k
-6 + 6k + 2k = 22

Combine like terms: 6k + 2k = 8k
-6 + 8k = 22

Solving
-6 + 8k = 22

Solving for variable 'k'.

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

Add '6' to each side of the equation.
-6 + 6 + 8k = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 8k = 22 + 6
8k = 22 + 6

Combine like terms: 22 + 6 = 28
8k = 28

Divide each side by '8'.
k = 3.5

Simplifying
k = 3.5