Question

Seven times the sum of a number,n,and four
what will be the expressions ?

Answer 1

a number, n: n
the sum of a number, n, and 4: n + 4
seven times the sum of a number, n, and 4: 7(n + 4)

Answer 2

First, let's write "the sum of a number and 4" as:

n+4.

Then, "seven times" the sum can be written as:

7(n+4)

This "is 6" or "is equal to 6" and can be written as:

7(n+4)=6

To solve, first expand the term in parenthesis on the left side of the equation by multiplying each term in the parenthesis by 7

(7×n)+(7×4)=6

7n+28=6

Next, subtract 28 from each side of the equation to isolate the n term while keeping the equation balanced:

7n+28−28=6−28

7n+0=−22

7n=−22

Now, divide each side of the equation by 7 to solve for n while keeping the equation balanced:

7n7=−227

7n7=−227

n=−227

The number is −227