- Start with the equation \(q - 844 = -232\).
- Add \(844\) to both sides to isolate \(q\).
- Calculate \(q = 844 - 232 = 612\).
- The final answer is \(\boxed{612}\).
Explanation
- Analysis of the problem
We are given the equation \(q + (-844) = -232\). Our goal is to solve for the variable \(q\). Note that the statement \(q=1\) provided in the input is inconsistent with the equation \(q - 844 = -232\), so we will proceed by solving the equation directly.
- Isolating the variable q
To solve the equation \(q - 844 = -232\), we need to isolate the variable \(q\) on one side. We do this by adding \(844\) to both sides of the equation:
\[q - 844 + 844 = -232 + 844\]
\[q = 844 - 232\]
- Calculating the value of q
Now we perform the subtraction to find the value of \(q\):
\[q = 844 - 232 = 612\]
Thus, the value of \(q\) that satisfies the given equation is \(612\).
Examples
In real life, equations like these are used in finance and accounting. For example, if you have a balance \(q\) and you subtract a payment of \(\$844\) resulting in an overdraft or a negative balance of \(\$-\$232\), you can use this equation to find your starting balance: \(q - 844 = -232\). Solving for \(q\) shows that your starting balance was \(\$612\).