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\frac{96}{8}=|-4t-16|
Divide both sides by 8.
12=|-4t-16|
Divide 96 by 8 to get 12.
|-4t-16|=12
Swap sides so that all variable terms are on the left hand side.
-4t-16=12 -4t-16=-12
Use the definition of absolute value.
-4t=28 -4t=4
Add 16 to both sides of the equation.
t=-7 t=-1
Divide both sides by -4.