Let's solve the inequality step by step:

\[
16x - 7 \leq -71
\]

### Step 1: Add 7 to both sides to isolate the term with \( x \).

\[
16x - 7 + 7 \leq -71 + 7
\]

This simplifies to:

\[
16x \leq -64
\]

### Step 2: Divide both sides by 16 to solve for \( x \).

\[
x \leq \frac{-64}{16}
\]

\[
x \leq -4
\]

Thus, the solution to the inequality is:

\[
x \leq -4
\]

### Solution: \( x \leq -4 \)

Would you like more details on this or have any questions?

Here are some related problems for practice:
1. Solve: \( 12x + 5 \geq -19 \)
2. Solve: \( 8x - 10 \leq 6 \)
3. Solve: \( 5x - 3 > -18 \)
4. Solve: \( 3x + 4 \leq 16 \)
5. Solve: \( -9x + 7 \geq 34 \)

**Tip:** When solving inequalities, remember that if you multiply or divide both sides by a negative number, the inequality sign flips!

Learn how to solve the linear inequality 16x - 7 ≤ -71 step by step. This solution demonstrates key algebraic concepts such as solving inequalities, using the addition and division properties of inequality. Suitable for students in Grades 7-9.

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