## Algebra: A Combined Approach (4th Edition)

$t=5$
Step 1: $\frac{t-4}{2}-\frac{t-3}{9}=\frac{5}{18}$ Step 2: $\frac{9(t-4)-2(t-3)}{18}=\frac{5}{18}$ Step 3: $\frac{9t-36-2t+6}{18}=\frac{5}{18}$ Step 4: $\frac{7t-30}{18}=\frac{5}{18}$ Step 5: $18(7t-30)=5(18)$ Step 6: $7t-30=5$ Step 7: $7t=5+30$ Step 8: $7t=35$ Step 9: $t=5$