Question

m solution?
0 solution
1 solution
2 solution
3 solution
(1) the expression 2n + 6 is equivalent to 2(3 + n).
(2) what values of n make the equation true?
(3) the equation is true for? of n.

Explanation:

Step1: Expand the right-hand side

$2(3 + n) = 2\times3 + 2\times n = 6 + 2n$

Step2: Compare both expressions

$2n + 6 = 6 + 2n$

Step3: Verify with given n values

For $n=0$: $2(0)+6=6$, $2(3+0)=6$ (true)
For $n=1$: $2(1)+6=8$, $2(3+1)=8$ (true)
For $n=2$: $2(2)+6=10$, $2(3+2)=10$ (true)
For $n=3$: $2(3)+6=12$, $2(3+3)=12$ (true)

Answer:

The equation is true for all values of $n$.
Filling the table:

$n$	Solution?
1	True
2	True
3	True