JUSTIFIES A STEP IN THE SOLUTION OF AN EQUATION
4n+(7+n)=52
4n+(n+7)=52
(4n+n)+7=52
5n+7=52
5n+7-7=52
5n=45
5n/5=45/9
n=9
In this equation, we begin by simplifying the expression on the left side of the equation.
First, we can combine the like terms on the left side: 4n + (7 + n) becomes 4n + n + 7.
So we have 4n + n + 7 = 52.
Next, we can combine the 4n and n, which gives us 5n.
So our equation becomes 5n + 7 = 52.
To isolate the variable n, we need to get rid of the +7 on the left side. We can do this by subtracting 7 from both sides of the equation.
5n + 7 - 7 = 52 - 7.
This simplifies to 5n = 45.
Finally, to solve for n, we divide both sides of the equation by 5.
(5n) / 5 = 45 / 5.
This simplifies to n = 9.
Therefore, the solution to the equation is n = 9.