Question

not all equations have exactly one solution. consider the equation 2n + 6 = 2(3 + n). can you find more solutions? complete the rest of the table.
n | solution?
0 | solution
1 |?
2 |?
3 |?

Explanation:

Step1: Simplify the right-hand side

$2(3 + n) = 6 + 2n$

Step2: Compare both sides

$2n + 6 = 2n + 6$

Step3: Test n=1

Left: $2(1)+6=8$, Right: $2(3+1)=8$ → solution

Step4: Test n=2

Left: $2(2)+6=10$, Right: $2(3+2)=10$ → solution

Step5: Test n=3

Left: $2(3)+6=12$, Right: $2(3+3)=12$ → solution

Answer:

$n$	Solution?
1	solution
2	solution
3	solution