### Solving Linear Equations Practice Question

#### Question 1

Solve the following linear equation:

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

### Step by Step Solution

• #### Step 1

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

• #### Step 2

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

• #### Step 3

Next, 2 multiply by -1 gives -2.

• #### Step 4

Now, the equation becomes:

• #### Step 5

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:

• #### Step 6

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:

• #### Step 7

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

The equation becomes 3n = 9.

• #### Step 8

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.

• #### Step 9

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