7-2n+4n=n+3
an can you please provide steps
Get all the n terms on one side of the equation and combine. Or you can combine first.
7-2n+4n=n+3
7 + 2n = n + 3
Subtract n and 7 from both sides.
n = -4
Sure! Let's go through the steps to solve the equation 7-2n+4n=n+3:
Step 1: Combine the like terms on both sides of the equation.
On the left side, we have -2n + 4n. When you combine these terms, you get 2n.
So now the equation becomes:
7 + 2n = n + 3
Step 2: Isolate the variable term.
To do this, we need to move the n term to one side of the equation. We can achieve this by subtracting n from both sides, like this:
7 + 2n - n = n + 3 - n
On the left side, the equation becomes:
2n - n = n
And on the right side, the equation becomes:
3 - n
Step 3: Simplify both sides.
2n - n simplifies to just n:
n = 3 - n
Step 4: Isolate the variable.
To get rid of the n term on the right side, we can add n to both sides of the equation, like this:
n + n = 3 - n + n
On the left side, we have:
2n
On the right side, the equation becomes:
3
So now the equation is:
2n = 3
Step 5: Solve for n.
To solve for n, we need to divide both sides of the equation by 2:
2n/2 = 3/2
On the left side, we have:
n
On the right side, the equation becomes:
3/2
So the solution to the equation is:
n = 3/2