Question

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
17t+8–18t=11
–
t+8=11
Add 17t to both sides
Subtract 17t from both sides
Multiply both sides by 17t
Divide both sides by 17t
Combine like terms
–
t=3
Add 8 to both sides
Subtract 8 from both sides
Multiply both sides by 8
Divide both sides by 8
Apply the distributive property
t=
Divide both sides by
–
1

Answer 1

Let's follow the steps to solve the equation step by step, filling in any missing terms and selecting the appropriate descriptions.

Starting with the original equation:

**1.** \(17t + 8 - 18t = 11\)

First, we can combine like terms:

**2.** Combine like terms:
\[
17t - 18t + 8 = 11 \\
-t + 8 = 11
\]

**3.** Now we will subtract 8 from both sides:
\(-t + 8 - 8 = 11 - 8\)

This simplifies to:
\(-t = 3\)

**4.** Next, we can multiply both sides by -1 to solve for \(t\):
\[
t = -3
\]

So, putting it all together, we have:

1. Start with \(17t + 8 - 18t = 11\)
2. Combine like terms: \( -t + 8 = 11\)
3. Subtract 8 from both sides: \(-t = 3\)
4. Multiply both sides by -1: \(t = -3\)

To fill in the blanks:

- The missing terms include:
1. "Combine like terms"
2. "Add 8 to both sides"
3. "Subtract 8 from both sides"
4. "Multiply both sides by -1"

- The final answer for \(t\) is:
\[
t = -3
\]

So, the completed and simplified equation leads us to \(t = -3\).

Please let me know if you need anything else!