Question

-3(t - 8) = 32

Explanation:

Step1: Divide both sides by -3

To isolate the term with \( t \), we divide both sides of the equation \(-3(t - 8)=32\) by \(-3\). This gives us \( t - 8=\frac{32}{-3}=-\frac{32}{3}\).

Step2: Add 8 to both sides

Now, to solve for \( t \), we add 8 to both sides of the equation \( t - 8 = -\frac{32}{3}\). We rewrite 8 as \(\frac{24}{3}\) to have a common denominator. So, \( t=-\frac{32}{3}+\frac{24}{3}\).

Step3: Simplify the right side

Adding the fractions, we get \( t=\frac{-32 + 24}{3}=\frac{-8}{3}\).

Answer:

\( t = -\frac{8}{3} \)