Question

Solve each equation. Check your solution.

$-16-(-t)=-45$

Short answer

The required solution is $t=-29$.

Step-by-step solution

Step 1. Write the given information. 

The given equation is:

$-16-(-t)=-45$

Step 2. Calculation.

Consider the given equation,

$$\begin{gathered} -16-\left(-t\right)=-45 \\ -16+t=-45 \\ t=-45+16 \\ t=-29 \end{gathered}$$

Step 3. Checking solution.

Put in the given equation to check:

$$\begin{gathered} -16-\left(-t\right)=-45 \\ -16-\left(-\left(-29\right)\right)=-45 \\ -16-29=-45 \\ -45=-45 \end{gathered}$$

Hence, proved.