In the equation 10v - 8v = 6, we are tasked with solving for the variable v. To do this, we'll apply some straightforward algebraic principles. The left side of the equation contains two terms, 10v and -8v. By simplifying this expression, we subtract 8v from 10v to get 2v:
10v - 8v = 2v
Now, the equation becomes 2v = 6. Our goal is to isolate v on one side of the equation. To achieve this, we'll divide both sides of the equation by 2.
(2v) / 2 = 6 / 2
This step is crucial because dividing both sides by 2 eliminates the coefficient (the number multiplied by v), leaving us with v on the left side:
v = 3
So, the solution to the equation 10v - 8v = 6 is v = 3. This means that when v is equal to 3, the equation is satisfied, making both sides equal.
In summary, the process involves simplifying the equation by combining like terms and then performing the necessary steps to isolate the variable v, resulting in the final solution: v = 3. This solution indicates that v must equal 3 for the equation to hold true.