The cube root of (n increased by 8), or ∛(n+8), is -0.5, or -1/2.
∛(n+8) = -1/2. To solve this for n, cube both sides, obtaining n+8 = -1/8.
Eliminate the fraction by mult. all three terms by 8: 8n + 64 = -1
Solving for n: 8n = -65, so that n = -65/8.