Seven times the sum of a number, n, and four

what will be the expressions?

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)

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:

7n 7 = - 227

7n 7 = - 227

n = - 227

The number is - 227