Question 1

Solve the following linear equation:

Select and check your answer...

A. n = -2
B. n = 3
C. n = -3
D. n = 2

To solve the linear equation, we need to remove the brackets first.

Now, 2 multiply by 4n gives +8n.

Next, 2 multiply by -1 gives -2.

Now, the equation becomes:

With the equation as:

                    +8n -2 = 5n +7

Notice that we can remove 5n by adding -5n to both sides of the equation. Now the equation becomes:

                    +8n -5n -2 = 5n -5n +7

On the Right Hand Side (RHS), 5n and -5n cancel off. We now have:

Now, with the equation as:

                    +8n -5n -2 =  +7

Notice that we can remove -2 by adding +2 to both sides of the equation. Now the equation becomes:

                    +8n -5n -2 +2 = +7 +2

On the Left Hand Side (LHS), -2 and +2 cancel off. We now have:

Now, adding 8n with -5n gives 3n.
Similarly, adding 7 with 2. gives 9.

The equation becomes 3n = 9.

Now, now, we can get n by dividing both sides by 3.
The equation becomes:

                          3n/3 = 9/3

Notice that, in the term 3n/3, we can cancel of  3.  The equation becomes n = 9/3.

Now, we divide 9 with 3. We get n = 3. Clearly, the answer is B.