If $m+40=75$, then $m=$
We are given the equation \(m + 40 = 75\), where \(m\) represents an unknown value. Our objective is to determine the specific numerical value of \(m\) that satisfies this equality. This is a linear equation in one variable, which can be solved by isolating the variable.
To isolate the variable \(m\), we need to eliminate the constant 40 from the left-hand side. We can do this by subtracting 40 from both sides of the equation:
\[m + 40 - 40 = 75 - 40\]
This simplifies the equation as follows:
\[m = 75 - 40\]
Performing the subtraction, we find:
\[m = 35\]
Thus, the value of \(m\) is 35.
Imagine you have a piggy bank with some amount of money, say \(m\). If you add \(\$40\) to it, you now have \(\$75\) in total. To find out how much money you originally had in your piggy bank, you would subtract the \(\$40\) you added from the total amount of \(\$75\), which is \(\$75 - \$40 = \$35\). This is a simple application of solving for an unknown variable in a linear relationship.