Solve the following equation. Then place the correct number in the box provided.-7z - 7 ≤ -5z + 5

To solve the equation -7z - 7 ≤ -5z + 5, we need to isolate the variable z.

Step 1: Let's start by moving all the terms containing z to one side of the inequality. We can do this by adding 5z to both sides of the equation:

-7z - 7 + 5z ≤ -5z + 5 + 5z

Simplifying the equation, we get:

-2z - 7 ≤ 5

Step 2: Next, let's move the constant term (-7) to the other side of the inequality by adding 7 to both sides:

-2z - 7 + 7 ≤ 5 + 7

Simplifying further, we have:

-2z ≤ 12

Step 3: To isolate z, we need to divide both sides of the inequality by -2. However, since we are dividing by a negative number, the inequality sign will flip:

-2z / -2 ≥ 12 / -2

Simplifying, we get:

z ≥ -6

So, the solution to the equation -7z - 7 ≤ -5z + 5 is z ≥ -6.