Answer
$\{-10\}$
Work Step by Step
Subtract $t$ from both sides.
$0.9t-t=1+t-t$
Simplify.
$-0.1t=1$
Divide bot sides by $-0.1$.
$\dfrac{-0.1t}{-0.1}=\dfrac{1}{-0.1}$
Simplify.
$t=-10$
Hence, the solution to the equation is $\{-10\}$.