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
