Answer:
t = 1.25
Step-by-step explanation:
Using the distributive property yields
[tex]|6t-9|=6t-6 [/tex]
If 6t-9>0, the equation will have no solutions (since the coefficients of t will be the same, but the constant terms will be different).
So, we only need to consider when 6t-9<0, meaning |6t-9|9-6t.
[tex]9-6t=6t-6 \\ \\ 15=12t \\ \\ t=1.25[/tex]