91Ó°ÊÓ

In algebra, understanding how division works is crucial. Division is the operation of distributing a number into a specified number of equal parts.
When we see the term 'quotient,' this usually indicates division. For example, if you see 'the quotient of a number and another number,' this can be written as a fraction.
In our problem, 'the quotient of \(h \) and 26' means \( \frac{h}{26} \) .
This tells us that when \( h \) is divided by 26, the result is set equal to \( -52 \) .
Therefore, writing down the equation properly and recognizing division symbols can help us structure our solving process effectively.

Solving algebraic equations involves finding the value of the variable that makes the equation true. Here’s how we approached it:
First, we identified the mathematical meaning of the words in the problem. Recognizing that 'quotient' meant division helped us set up our equation \( \frac{h}{26} = -52 \) .
To solve for \( h \) , we needed to eliminate the division by 26. We do this by multiplying both sides of the equation by 26. This is because multiplying by the denominator will cancel out the division:
\[ \frac{h}{26} \times 26 = -52 \times 26 \]
Simplifying this, we get:
\[ h = -52 \times 26 \]
This step lets us isolate the variable \( h \) , making the equation much simpler to solve.

Simplifying expressions is essential for solving equations efficiently. Once we transformed our equation \( \frac{h}{26} = -52 \) into \( h = -52 \times 26 \) , the next step was straightforward calculation.
Performing this multiplication, we calculate:
\[ -52 \times 26 = -1352 \]
Thus, the simplified expression we obtained is \( h = -1352 \) .
Simplifying expressions helps to reduce complex equations to simpler forms, making them easier to solve. Always perform operations step-by-step and verify each result for accuracy.
With practice, simplifying and solving algebraic equations will become second nature!