a: 3x+27=9
=>\(3x=9-27=-18\)
=>\(x=-\dfrac{18}{3}=-6\)
b: \(2x+12=3\left(x-7\right)\)
=>3x-21=2x+12
=>3x-2x=21+12
=>x=33
c: \(2x^2-1=49\)
=>\(2x^2=1+49=50\)
=>\(x^2=25\)
=>\(\left[{}\begin{matrix}x=5\\x=-5\end{matrix}\right.\)
d: \(416+\left(x-45\right)=387\)
=>\(x-45=387-416=-29\)
=>x=-29+45=16
e: \(11-\left(x+84\right)=91\)
=>x+84=11-91=-80
=>x=-80-84=-164
f: \(-\left(x+94\right)+213=-16\)
=>\(-\left(x+94\right)=-16-213=-229\)
=>x+94=229
=>x=229-94=135