Answer
$t=1$.
Work Step by Step
The given equation is
$\Rightarrow 2(2t+4)= \frac{3}{4}(24-8t)$
Use distributive property.
$\Rightarrow 4t+8= 18-6t$
Add $6t-8$ to both sides.
$\Rightarrow 4t+8+6t-8= 18-6t+6t-8$
Simplify.
$\Rightarrow 10t= 10$
Divide both sides by $10$.
$\Rightarrow \frac{10t}{10}=\frac{10}{10}$
Simplify.
$\Rightarrow t=1$
Check:-
$\Rightarrow 2(2(1)+4)= \frac{3}{4}(24-8(1))$
$\Rightarrow 2(2+4)= \frac{3}{4}(24-8)$
$\Rightarrow 2(6)= \frac{3}{4}(16)$
$\Rightarrow 12=12$
True.
Hence, the solution is $t=1$.
