1. **State the problem:** We need to find a number such that six times the number plus 8 equals 32. 2. **Write the equation:** Let the number be $x$. The equation is: $$6x + 8 = 32$$ 3. **Isolate the term with $x$:** Subtract 8 from both sides: $$6x + 8 - 8 = 32 - 8$$ $$6x = 24$$ 4. **Solve for $x$:** Divide both sides by 6: $$\frac{6x}{\cancel{6}} = \frac{24}{\cancel{6}}$$ $$x = 4$$ 5. **Answer:** The number is **4**.