Answer
$n=6$.
Work Step by Step
The given equation is
$\Rightarrow n+5n+7=43$
Combine like terms.
$\Rightarrow 6n+7=43$
Subtract $7$ from each side.
$\Rightarrow 6n+7-7=43-7$
Simplify.
$\Rightarrow 6n=36$
Divide each side by $6$.
$\Rightarrow \frac{6n}{6}=\frac{36}{6}$
Simplify.
$\Rightarrow n=6$
Check:-
$\Rightarrow n+5n+7=43$
$\Rightarrow 6n+7=43$
$\Rightarrow 6(6)+7=43$
$\Rightarrow 36+7=43$
$\Rightarrow 43=43$
True.
Hence, the solution is $n=6$.
