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What is the value of n?

n–2=10n+42



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n =

User Andrew Guy
by
6.1k points

2 Answers

7 votes

Answer:

n = -44/9

Explanation:

n - 2 = 10n + 42

Add 2 to both sides:

n - 2 + 2 = 10n + 42 + 2

Simplify:

n = 10n + 44

Subtract 10n from both sides:

n - 10n = 10n + 44 - 10n

Simplify:

-9n = 44

Divide both sides by -9:

-9n/-9 = 44/-9

n = -44/9

I hope this helps!

User NoOneIsHere
by
6.4k points
3 votes

Answer:

Explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

n-2-(10*n+42)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

-9n - 44 = -1 • (9n + 44)

Equation at the end of step 1 :

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : -9n-44 = 0

Add 44 to both sides of the equation :

-9n = 44

Multiply both sides of the equation by (-1) : 9n = -44

Divide both sides of the equation by 9:

n = -44/9 = -4.889

One solution was found :

n = -44/9 = -4.889

User Mise
by
6.8k points