Answer
$t=\left\{ -5.5,5.5 \right\}$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To solve the given equation, $
|t|+1.1=6.6
,$ isolate first the absolute value expression. Then use the definition of an absolute value equality.
$\bf{\text{Solution Details:}}$
Using the properties of equality, the given equation is equivalent to
\begin{array}{l}\require{cancel}
|t|+1.1=6.6
\\\\
|t|=6.6-1.1
\\\\
|t|=5.5
.\end{array}
Since for any $c\gt0$, $|x|=c$ implies $x=c \text{ or } x=-c,$ the given equation is equivalent to
\begin{array}{l}\require{cancel}
t=5.5
\\\\\text{OR}\\\\
t=-5.5
.\end{array}
Hence, $
t=\left\{ -5.5,5.5 \right\}
.$
