Verified Answer :

\(\frac{1}{5} t\) - 3 = -17

First, simplify \(\frac{1}{5} t\) to \(\frac{t}{5}\) / Your problem should look like: \(\frac{t}{5} - 3 = -17\)
Second, multiply both sides by 5. / Your problem should look like: \(t - 15 = -85\)
Third, add 15 to both sides. / Your problem should look like: \(t = -85 + 15\)
Fourth, simplify -85 + 15 to get -70. / Your problem should look like: \(t = -70\)

CHECKING:
\(\frac{1}{5} t - 3 = -17\)
First, let t = -70 / Your problem should look like: \(\frac{1}{5} x -70-3=-17\)
Second, simplify \(\frac{1}{5} x -70\) to \(-\frac{1}{5}x70\) / Your problem should look like: \(-\frac{1}{5} x 70-3=-17\)
Third, simplify \(\frac{1}{5} x70\) to \(\frac{70}{5}\) / Your problem should look like: \(- \frac{70}{5} -3=-17\)
Fourth, since 14 goes into 5 to get 70, simplify the fraction by 14. / Your problem should look like: \(-14-3=-17\)
Fifth, simplify -14 - 3 to get -17 / Your problem should look like: \(-17 = -17\)

Answer: t = -70