"solve the equation
–4n + 7 + 2n = 1"
I'm having trouble solving this equation, could some one help me out?
–4n + 7 + 2n = 1
Combine like terms
-2n = -6
Take it from there.
Thank you!
Sure, I can help you solve the equation -4n + 7 + 2n = 1 step-by-step.
Step 1: Combine like terms
First, combine the terms with 'n' on the left side of the equation. -4n + 2n can be simplified to -2n.
The equation now becomes: -2n + 7 = 1.
Step 2: Isolate the variable
To isolate the variable 'n', subtract 7 from both sides of the equation.
-2n + 7 - 7 = 1 - 7 simplifies to -2n = -6.
Step 3: Solve for 'n'
To solve for 'n', divide both sides of the equation by -2.
(-2n) / (-2) = (-6) / (-2) simplifies to n = 3.
Therefore, the solution to the equation -4n + 7 + 2n = 1 is n = 3.
Of course, I can help you solve this equation. Here's a step-by-step explanation:
–4n + 7 + 2n = 1
To solve the equation, we want to isolate the variable "n" on one side.
First, let's combine the "n" terms on the left side of the equation:
–4n + 2n + 7 = 1
This simplifies to:
–2n + 7 = 1
Next, let's move the constant term (7) to the right side of the equation by subtracting 7 from both sides:
–2n + 7 - 7 = 1 - 7
Simplifying further, we get:
–2n = -6
To isolate the variable "n", we divide both sides of the equation by the coefficient of "n", which is -2:
–2n / -2 = -6 / -2
This gives us:
n = 3
So the solution to the equation is n = 3.
If you check the solution by substituting n = 3 into the original equation, you will get:
–4(3) + 7 + 2(3) = 1
-12 + 7 + 6 = 1
-5 + 6 = 1
1 = 1
Therefore, n = 3 is indeed the solution to the equation.