Answer:
a = 4
Explanation:
Start with the equation:
4a - 2 = 2a + 6
To isolate the variable 'a,' you'll want to get all the 'a' terms on one side of the equation and the constants on the other side. First, subtract 2a from both sides to move the 'a' terms to the left side:
4a - 2a - 2 = 2a - 2a + 6
This simplifies to:
2a - 2 = 6
Now, add 2 to both sides to isolate the '2a' term:
2a - 2 + 2 = 6 + 2
This simplifies to:
2a = 8
Finally, divide both sides by 2 (the coefficient of 'a') to solve for 'a':
(2a) / 2 = 8 / 2
This gives you the final answer:
a = 4
So, the solution to the equation 4a - 2 = 2a + 6 is a = 4.