Answer:
K = - 6 
Explanation:
Let's solve your equation step-by-step. 
2(4k+5)+3(3−3k)=25 
Step 1: Simplify both sides of the equation. 
2(4k+5)+3(3−3k)=25 
(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute) 
8k+10+9+−9k=25 
(8k+−9k)+(10+9)=25(Combine Like Terms) 
−k+19=25 
−k+19=25 
Step 2: Subtract 19 from both sides. 
−k+19−19=25−19 
−k=6 
Step 3: Divide both sides by -1.