To solve the equation [tex]\( 1 = 2p - 1 \)[/tex] for [tex]\( p \)[/tex], follow these steps:
1. Isolate the term involving [tex]\( p \)[/tex]:
Start by getting rid of the constant term on the right side of the equation. You can do this by adding 1 to both sides of the equation:
[tex]\[
1 + 1 = 2p - 1 + 1
\][/tex]
2. Simplify both sides:
This will give you:
[tex]\[
2 = 2p
\][/tex]
3. Solve for [tex]\( p \)[/tex]:
Now, divide both sides of the equation by 2 to isolate [tex]\( p \)[/tex]:
[tex]\[
\frac{2}{2} = \frac{2p}{2}
\][/tex]
4. Simplify the fraction:
[tex]\[
1 = p
\][/tex]
Thus, the solution to the equation is:
[tex]\[
p = 1
\][/tex]
