Question

multiple choice 1 point
5(n + 10)=-10 + 2(n - 6)
-20
-24
8
all real numbers

Explanation:

Step1: Expand both sides

$5(n + 10)=5n+50$ and $- 10+2(n - 6)=-10 + 2n-12=2n-22$. So the equation becomes $5n + 50=2n-22$.

Step2: Move terms with $n$ to one - side

Subtract $2n$ from both sides: $5n-2n + 50=2n-2n-22$, which simplifies to $3n+50=-22$.

Step3: Move the constant to the other side

Subtract 50 from both sides: $3n+50 - 50=-22-50$, so $3n=-72$.

Step4: Solve for $n$

Divide both sides by 3: $n=\frac{-72}{3}=-24$.

Answer:

-24