To solve the linear equation, we first need to combine like terms.
The equation can be rewritten by grouping all the k terms and the constant terms together:
6k + 3k + k + k + k + k + 105 + 12 + 5 + 2 + 73 + 9 = 0
Now, let’s combine the k terms:
6k + 3k + k + k + k + k = 12k
Next, let’s add up the constant terms:
105 + 12 + 5 + 2 + 73 + 9 = 206
Now we have:
12k + 206 = 0
To isolate k, subtract 206 from both sides:
12k = -206
Next, divide both sides by 12:
k = -206 / 12
When we simplify -206/12, we get:
k = -17.1667 (approximately)
So the solution to the linear equation is:
k ≈ -17.17