Answer:
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!
