Answer
$t=8$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
\dfrac{3}{4}(3t-4)=15
$, is
\begin{array}{l}
\dfrac{4}{3}\left[\dfrac{3}{4}(3t-4)\right]=15\left[ \dfrac{4}{3}\right]
\\\\
3t-4=5(4)
\\\\
3t=20+4
\\\\
3t=24
\\\\
t=\dfrac{24}{3}
\\\\
t=8
.\end{array}
CHECKING:
\begin{array}{l}
\dfrac{3}{4}(3\cdot8-4)=15
\\\\
\dfrac{3}{4}(24-4)=15
\\\\
\dfrac{3}{4}(20)=15
\\\\
3(5)=15
\\\\
15=15
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
t=8
$.
