Answer
$t=5$
Work Step by Step
Distribute 2 to have
$t-(6-4t)=2t+9
\\t-6-(-4t)=2t+9
\\t-6+4t=2t+9
\\5t-6=2t+9.$
Add $6$ and subtract $2t$ from both sides to have
$5t-6+6-2t=2t+9+6-2t
\\3t=15.$
Divide both sides by 3 to have
$t=\frac{15}{3}
\\t=5.$
