To solve the equation $a = 2(b - c)$ for $b$, follow these steps:

1. Distribute the 2 on the right side:

$a = 2b - 2c$

2. Isolate the term containing $b$ by adding $2c$ to both sides:

$a + 2c = 2b$

3. Solve for $b$ by dividing both sides by 2:

$b = \frac{a + 2c}{2}$

Thus, the solution for $b$ is:

$\boxed{b = \frac{a + 2c}{2}}$

Would you like a more detailed explanation or have any questions?

Related Questions:

1. How would you solve for $c$ in the equation $a = 2(b - c)$?
2. If $a = 10$ and $c = 3$, what is the value of $b$?
3. What happens to the value of $b$ if $a$ is doubled?
4. How can this equation be represented graphically?
5. What if the equation was $a = 3(b - c)$ instead?

Tip: Remember that isolating a variable involves performing inverse operations to both sides of the equation.