1. **State the problem:** Translate the sentence "Two more than the product of a number and 6 is equal to 7" into an equation using the variable $b$ for the unknown number. 2. **Identify key parts:** - "The product of a number and 6" means $6b$. - "Two more than" means add 2 to that product: $6b + 2$. - "Is equal to 7" means the expression equals 7. 3. **Write the equation:** $$6b + 2 = 7$$ 4. **Solve the equation step-by-step:** 5. Subtract 2 from both sides to isolate the term with $b$: $$6b + \cancel{2} - \cancel{2} = 7 - 2$$ $$6b = 5$$ 6. Divide both sides by 6 to solve for $b$: $$\frac{6b}{\cancel{6}} = \frac{5}{6}$$ $$b = \frac{5}{6}$$ 7. **Final answer:** The number $b$ is $\frac{5}{6}$.