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6 votes
6 votes
Solve for n.

11(n – 1) + 35 = 3n

User Chris Lear
by
2.4k points

2 Answers

15 votes
15 votes
Answer: -3=n

Step 1: Rewrite equation

11(n-1)+35=3n

Step 2: Distribute

To distribute, you need to multiply the numbers on the outside of the parentheses with the numbers on the inside. To do so, you need to multiple 11•n and 11•-1.

11(n-1)+35=3n
11n-11+35=3n

Step 3: Combine like terms

“Like terms” are numbers that share the same variable, or lack of. To start, you must only combine like terms on the same side of the equation. In this case, the like terms are -11 and 35. Add these to combine like terms.

11n-11+35=3n
11n+24=3n

Step 4: Put variables on one side

It is important to keep variables on one side of the equation, and the constants on the other. To do so, we need to subtract 11n on both sides.

11n+24=3n
24=-8n

Step 5: Get n alone

In this final step, we need to get n alone to solve for the variable. To do so, we need to get rid of the -8 next to it. We can do this by diving 24 by -8 and diving -8n by -8.

24=-8n
-3=n

This is your final answer: 3=n. Hope this helps! Comment below for more questions.
User Vishal Tanna
by
2.5k points
26 votes
26 votes

Answer:

n = -3

Explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n+24 -11n = 3n -11n

24 = -8n

Divide by -8

24/-8 = -8n=-8

-3 =n

User Yuck
by
3.3k points