To solve the equation -2n + 46 = -9 + 42n + 1, we’ll first simplify both sides of the equation.
Start by combining like terms on the right side:
- -9 + 1 = -8
This simplifies our equation to:
-2n + 46 = 42n – 8
Next, we want to get all the terms involving n on one side and constant terms on the other side. Let’s add 2n to both sides:
- -2n + 2n + 46 = 42n + 2n – 8
Which simplifies to:
46 = 44n – 8
Now, let’s isolate 44n by adding 8 to both sides:
- 46 + 8 = 44n
This gives us:
54 = 44n
Next, we can solve for n by dividing both sides by 44:
- n = 54 / 44
We can simplify 54 / 44 further:
- n = (27 / 22)
Thus, the value of n is:
n = 1.2272 (approximately).
In conclusion, the value of n in the equation is approximately 1.2272.