Solving the Equation: 4(a+1) = 2
In this article, we will explore the solution to the equation 4(a+1) = 2. This equation is a simple algebraic equation that can be solved using basic algebraic operations.
Step 1: Expand the Equation
To start, we need to expand the left-hand side of the equation using the distributive property of multiplication over addition:
4(a+1) = 4a + 4
So, the equation becomes:
4a + 4 = 2
Step 2: Subtract 4 from Both Sides
Next, we subtract 4 from both sides of the equation to isolate the term with the variable (a):
4a = -2
Step 3: Divide Both Sides by 4
Finally, we divide both sides of the equation by 4 to solve for a:
a = -2/4
a = -1/2
Conclusion
Therefore, the solution to the equation 4(a+1) = 2 is a = -1/2. This is the value of a that satisfies the equation.