Question

complete the process of solving the equation.
fill in all missing terms and select all missing descriptions. simplify any fractions.
-14t - 12 - 4t = 6
-18t - 12 = 6
-18t = 18
t =
divide both sides by -18

Explanation:

Step1: Combine like terms

We start with the equation \(-14t - 12 - 4t = 6\). Combine the \(t\)-terms: \(-14t-4t=-18t\), so the equation becomes \(-18t - 12 = 6\).

Step2: Add 12 to both sides

To isolate the term with \(t\), we add 12 to both sides of the equation \(-18t - 12 = 6\). Using the addition property of equality, we get \(-18t-12 + 12=6 + 12\), which simplifies to \(-18t=18\).

Step3: Divide by -18

Now, to solve for \(t\), we divide both sides of the equation \(-18t = 18\) by \(-18\). Using the division property of equality, \(\frac{-18t}{-18}=\frac{18}{-18}\), which simplifies to \(t=-1\).

Answer:

The missing term after combining like terms is \(-18t - 12 = 6\) (already shown in the process), the step of adding 12 to both sides leads to \(-18t = 18\), and then dividing by \(-18\) gives \(t = -1\). So the value of \(t\) is \(-1\).