Answer
$k=-9$.
Work Step by Step
The given equation is
$\Rightarrow 2k-3(2k-3)=45$
Use distributive property.
$\Rightarrow 2k-6k+9=45$
Add like terms.
$\Rightarrow -4k+9=45$
Subtract $9$ from both sides.
$\Rightarrow -4k+9-9=45-9$
Simplify.
$\Rightarrow -4k=36$
Divide both sides by $-4$.
$\Rightarrow \frac{-4k}{-4}=\frac{36}{-4k}$
Simplify.
$\Rightarrow k=-9$.
Check:-
$\Rightarrow 2k-3(2k-3)=45$
$\Rightarrow 2k-6k+9=45$
$\Rightarrow -4(-9)+9=45$
$\Rightarrow 36+9=45$
$\Rightarrow 45=45$
True.
Hence, the solution is $k=-9$.
