Respuesta :
Answer:
21
Step-by-step explanation:
5n+3(8−n)=66
Step 1: Simplify both sides of the equation.
5n+3(8−n)=66
5n+(3)(8)+(3)(−n)=66(Distribute)
5n+24+−3n=66
(5n+−3n)+(24)=66(Combine Like Terms)
2n+24=66
2n+24=66
Step 2: Subtract 24 from both sides.
2n+24−24=66−24
2n=422n
2
=
42
2
n=21
Answer: n = 21
Step-by-step explanation: To solve for n in this equation, our first step is to simplify the left side by distributing the 3 through both terms inside the parentheses.
When we do that,
we get 3 times 8 which is 24 and 3 times -n which is -3n.
So we have 5n + 24 -3n = 66.
You can simplify the left side one step further
by combing 5n - 3n to get 2n.
So we have 2n + 24 = 66.
Our next step is to isolate the n term by subtracting 24 from both sides. On the left, 24 - 24 cancels and we're left with 2n. On the right, 66 - 24 simplifies to 42.
So now we have 2n = 42.
Now divide both sides by 2 and n = 21.