Let's solve your equation step-by-step. 
−3(2−5w)=9w+66 
Step 1: Simplify both sides of the equation. 
−3(2−5w)=9w+66 
(−3)(2)+(−3)(−5w)=9w+66(Distribute) 
−6+15w=9w+66 
15w−6=9w+66 
Step 2: Subtract 9w from both sides. 
15w−6−9w=9w+66−9w 
6w−6=66 
Step 3: Add 6 to both sides. 
6w−6+6=66+6 
6w=72 
Step 4: Divide both sides by 6. 
 6w 
 6 
= 72 
 6 
w=12 
Answer: 
w=12