Solve three questions

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2