$-117=-3(1+6 b)-b$
Final Answer: The solution to the equation $-117=-3(1+6 b)-b$ is \(\boxed{6}\)
Step 1 :The given equation is $-117=-3(1+6 b)-b$
Step 2 :Simplify the equation to isolate 'b' on one side
Step 3 :Substitute b = 6 into the original equation to verify the solution
Step 4 :The solution to the equation is b = 6
Step 5 :Final Answer: The solution to the equation $-117=-3(1+6 b)-b$ is \(\boxed{6}\)