Answer:
n=4
Step-by-step explanation:
Hi there!
We are given the following equation:
5n + 34 = -2(1-7n)
And we want to solve it for n
To do that, we want to isolate n (also written as 1n) on on side by itself.
In this equation, on the right side, we have -2(1-7n), which is in the way. We'll need to open it up.
In order to open up the parenthesis, we'll need to do the distributive property, where we will multiply -2 to both 1 and -7n, then add them together.
-2(1-7n)=-2+14n
That's for the right side.
The equation now looks like this:
5n + 34 = -2 + 14n
Remember that we will be trying to isolate n on one side
Subtract 5n from both sides to remove it from the left side:
5n + 34 = -2 + 14n
-5n -5n
__________________
34 = -2 + 9n
Add 2 to both sides to remove it from the right side:
34 = -2 + 9n
+2 +2
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36 = 9n
Now, we have numbers on one side and variables on the other, but we're not done yet, since remember; we want just n (or 1n), not 9n. We need to divide both sides by a number that will result in 1n
If we divide a number by itself, then the result is 1
So we should divide both sides by 9
4 = 1n, also written as 4=n , or n=4
Hope this helps!
