cuberoot(n+8)-6=-3

see why you should wait for one question to be answered before posting another just like it?

∛(n+8)-6 = -3
∛(n+8) = 3
n+8 = 3^3
...

8.6=n+3.3

To solve the equation cuberoot(n+8) - 6 = -3, we need to isolate the variable 'n'. Here's how you can do it step by step:

Step 1: Add 6 to both sides of the equation:
cuberoot(n + 8) = 6 - 3

Simplifying the right side of the equation, we get:
cuberoot(n + 8) = 3

Step 2: Cubing both sides of the equation will help us get rid of the cube root:
(cuberoot(n + 8))^3 = 3^3

This simplifies to:
n + 8 = 27

Step 3: Subtract 8 from both sides of the equation:
n + 8 - 8 = 27 - 8

This simplifies to:
n = 19

So the solution to the equation cuberoot(n + 8) - 6 = -3 is n = 19.