Final answer:
The equation a + 6 = 3a + 2 is solved by isolating the variable a and then multiplying it by 2. After simplifying, the result is 2a = 4, meaning a = 2.
Step-by-step explanation:
To solve the equation a + 6 = 3a + 2 for 2a, we need to rearrange the equation to isolate a on one side and then multiply by 2. Let's start by moving all terms involving a to one side and the constants to the other side.
- Subtract a from both sides: 6 = 2a + 2.
- Subtract 2 from both sides: 4 = 2a.
Now we've isolated 2a and can see that 2a = 4. To find the value of a, simply divide both sides by 2:
- Divide both sides by 2: a = 2.
Therefore, the solution for a is 2, and 2a is simply 4.