We are given the following equation
![5(t+3)=-3.5](https://img.qammunity.org/2023/formulas/mathematics/college/6eya2qpea2jg5ul3ymte0njgualyii1w4s.png)
Let us solve the equation for variable t
Our goal is to separate the variable t
Step 1:
Divide both sides by 5 and simplify
![\begin{gathered} (5(t+3))/(5)=(-3.5)/(5) \\ (t+3)=-0.7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/jq24393wl7niy2zs11mdopqzwxfalelajk.png)
Step 2:
Subtract 3 from both sides and simplify
![\begin{gathered} t+3-3=-0.7-3 \\ t=-3.7 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qj1icgvv5f5cvryt8emdk8q8l1sc5rf45r.png)
Therefore, the equation has been solved for t.
![t=-3.7](https://img.qammunity.org/2023/formulas/mathematics/college/54s0kbumsjj7gdgl5zf49kfq8mn9qrhbvo.png)