Let's simplify the expression step by step.

Given: 

\[
-12 - 11a > 2(11a - 14) - 25a
\]

### Step 1: Expand the right-hand side
Distribute the 2 across the terms inside the parentheses:

\[
2(11a - 14) = 22a - 28
\]

So the inequality becomes:

\[
-12 - 11a > 22a - 28 - 25a
\]

### Step 2: Simplify the right-hand side
Combine the like terms on the right-hand side:

\[
22a - 25a = -3a
\]

Now the inequality is:

\[
-12 - 11a > -3a - 28
\]

### Step 3: Move the variables to one side
Add \(11a\) to both sides to move all the \(a\)-terms to the right side:

\[
-12 > 8a - 28
\]

### Step 4: Move the constants to the other side
Add 28 to both sides to isolate the term with \(a\):

\[
-12 + 28 > 8a
\]

Simplifying:

\[
16 > 8a
\]

### Step 5: Solve for \(a\)
Divide both sides by 8:

\[
2 > a
\]

Thus, the solution is:

\[
a < 2
\]

### Final Answer:
The solution to the inequality is \(a < 2\).

---

Would you like further details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you solve inequalities with fractions?
2. How do you check the solution of an inequality?
3. How do inequalities differ from equations in solving?
4. Can you explain how to graph the solution \(a < 2\)?
5. What happens when multiplying or dividing both sides of an inequality by a negative number?

**Tip:** When solving inequalities, always reverse the inequality sign if you multiply or divide by a negative number.

Learn how to solve the linear inequality -12 - 11a > 2(11a - 14) - 25a through detailed step-by-step instructions. This solution involves expanding terms using the distributive property, simplifying expressions, and solving inequalities. Ideal for students in Grades 8-10.

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