1. **State the problem:** A number is multiplied by 6 and then 4 is added. We need to find the number. 2. **Set up the equation:** Let the number be $x$. According to the problem, multiplying the number by 6 and adding 4 gives us an expression: $$6x + 4$$ Since the problem asks to find the number, we assume the expression equals some value. However, the problem does not provide a result, so we interpret it as finding $x$ when the expression equals zero: $$6x + 4 = 0$$ 3. **Solve the equation:** Subtract 4 from both sides: $$6x + 4 - 4 = 0 - 4$$ $$6x = -4$$ Divide both sides by 6: $$\cancel{6}x = \frac{-4}{\cancel{6}}$$ $$x = -\frac{4}{6}$$ 4. **Simplify the fraction:** $$x = -\frac{2}{3}$$ 5. **Final answer:** The number is $-\frac{2}{3}$.