-3 +3(n+8)= 2(1 + 6n) - 8

3 =n

Step-by-step explanation:

-3 +3(n+8)= 2(1 + 6n) - 8

Distribute

-3 +3n +24 = 2 +12n -8

Combine like terms

21+3n = 12n -6

Subtract 3n from each side

21+3n-3n = 12n-3n -6

21 = 9n -6

Add 6 to each side

21+6 = 9n-6+6

27 = 9n

Divide each side by 9

27/9 = 9n/9

27/9 =n

Divide the top and bottom by 3

3 =n

n=3

Step-by-step explanation:

Equation: −3+3(n+8)=2(1+6n)−8

1. Simplify both sides of the equation.

−3+3(n+8)=2(1+6n)−8

−3+(3)(n)+(3)(8)=(2)(1)+(2)(6n)+−8 (Distribute)

−3+3n+24=2+12n+−8

(3n)+(−3+24)=(12n)+(2+−8) (Combine Like Terms)

3n+21=12n+−6

3n+21=12n−6

2. Subtract 12n from both sides.

3n+21−12n=12n−6−12n

−9n+21=−6

3. Subtract 21 from both sides.

−9n+21−21=−6−21

−9n=−27

4. Divide both sides by -9.

−9n /−9 = −27 /−9

n=3

Now we can check your answer! All you have to do is plug in the 3.

−3+3(3+8)=2(1+6(3))−8

1. Solve the first part of the equation.

−3+3(3+8)

=−3+(3)(11)

=−3+33

=30

2. Solve the second part.

2(1+(6)(3))−8

=2(1+18)−8

=(2)(19)−8

=38−8

=30

3. Are the answers equal?

30=30

Hope this helped!