Expand 6(x + 1)

6× + 6

12z - 28
—10q — 40
7/2d + 21/5
-15/8p - 5

6(x + 1) can be expanded as follows:

6 * x + 6 * 1
= 6x + 6

Expand 4(3z − 7)

4(3z - 7) can be expanded as follows:

4 * 3z - 4 * 7
= 12z - 28

Expand −5(2q + 8)

-5(2q + 8) can be expanded as follows:

-5 * 2q - 5 * 8
= -10q - 40

To expand 6(x + 1), you can use the distributive property. This property states that when a number is multiplied by a sum or difference inside parentheses, you can distribute the number to each term inside the parentheses.

So, let's distribute the 6 to both terms inside the parentheses:

6(x + 1) = 6(x) + 6(1)

Now, let's simplify each term:

6(x) = 6x
6(1) = 6

Putting it all together, the expanded form of 6(x + 1) is:

6x + 6