91Ó°ÊÓ

In solving linear equations, our goal is to find the value of the unknown variable, in this case, p. To do this, we start by isolating the variable on one side of the equation. This means we need to get rid of any other numbers next to our variable. In the equation given, we have:
56 + p = 92
Our goal is to isolate p. Since p is added to 56, we can isolate p by doing the opposite operation, which is subtraction. So, we subtract 56 from both sides:
56 + p - 56 = 92 - 56
By subtracting 56 from both sides, we ensure that the equation remains balanced. The equation now becomes: p = 36.
Notice how we isolated the variable p and moved everything else to the other side of the equation.

Once we have isolated the variable, the next step is to simplify the equation. Simplification means performing any necessary arithmetic operations to make the equation easier to work with. Subtracting 56 from 56 cancels out this number, leaving us with:
p = 92 - 56.
We then perform the subtraction on the right side:
p = 36.
Here, we simply compute 92 minus 56 to get 36. Now the equation is simplified, and we have found that p is equal to 36. The key to simplification is to break down the equation into smaller, manageable steps. Always perform one operation at a time, making sure the equation remains balanced.

The final step is to verify our solution. Verification ensures that our solution is correct and satisfies the original equation. To do this, we substitute the value we found for p back into the original equation and check if both sides are equal. Our original equation is:
56 + p = 92.
Substituting p with 36, we get:
56 + 36 = 92.
Now we add the numbers on the left side: 92 = 92.
Since both sides of the equation are equal, our solution is correct. Verification is a crucial step because it confirms the accuracy of our work. In any mathematical problem, always remember to substitute your solution back into the initial equation to ensure it holds true.