Let's solve the inequality step by step:

The inequality is:

\[
10 + 16m - 1 < -9(-2m - 3)
\]

### Step 1: Simplify both sides
On the left side:
\[
10 + 16m - 1 = 9 + 16m
\]

On the right side, distribute the \(-9\):
\[
-9(-2m - 3) = 18m + 27
\]

Now the inequality becomes:
\[
9 + 16m < 18m + 27
\]

### Step 2: Move all terms with \(m\) to one side
Subtract \(16m\) from both sides:
\[
9 < 2m + 27
\]

### Step 3: Move constants to the other side
Subtract 27 from both sides:
\[
9 - 27 < 2m
\]
\[
-18 < 2m
\]

### Step 4: Solve for \(m\)
Divide both sides by 2:
\[
-9 < m
\]

This can also be written as:
\[
m > -9
\]

### Final Answer:
\[
m > -9
\]

Would you like more details on any step?

Here are 5 related questions for further practice:
1. Solve: \( 12 + 8m < 3(m + 5) \)
2. Solve: \( 5m - 7 < 2m + 9 \)
3. Solve: \( 4m + 6 > 2m - 10 \)
4. Solve: \( 7 - 3m > 4(m - 2) \)
5. Solve: \( 20 + 5m \leq 2m + 11 \)

**Tip:** Always simplify both sides of an inequality before moving terms across the inequality sign.

Explore how to solve the inequality 10 + 16m - 1 < -9(-2m - 3) step by step. This problem covers algebraic concepts, such as simplifying expressions and applying the properties of inequalities. Suitable for students in Grades 8-10.

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