how would I solve 10=7-m? I don't understand how to find the variable and I use flowchart!none of my math books show me how! so how can I solve problems like these?

10=7-m

10 - 7 = -m

-3 = m

To solve the equation 10 = 7 - m, we need to isolate the variable, which in this case is "m." Let's go through the steps to find the value of "m":

Step 1: Start with the given equation: 10 = 7 - m.

Step 2: Begin by undoing any addition or subtraction involved with "m." In this case, we have "-m" on the right side. To undo it, we can add "m" to both sides of the equation:

10 + m = 7 - m + m

Simplifying this equation gives us: 10 + m = 7.

Step 3: Now, we want to isolate "m" on one side of the equation. To do this, we need to move the constant (7) to the other side. Since 7 is being subtracted, we'll add 7 to both sides of the equation:

10 + m + 7 = 7 + 7

Simplifying further, we get: 17 + m = 14.

Step 4: Finally, to isolate "m," we need to get rid of the constant on the left side. We can do this by subtracting 17 from both sides of the equation:

17 + m - 17 = 14 - 17

Simplifying this gives us: m = -3.

Therefore, the solution to the equation 10 = 7 - m is m = -3.

Using a flowchart to solve equations can be a helpful visual tool. You can start by creating a flowchart with two decision diamonds, one for each side of the equation. In each diamond, you compare the variable with the constant or expression on the same side of the equation. From there, depending on the comparison result, you follow the arrows to the next step to perform the necessary operation.

Remember, understanding the underlying algebraic operations is essential for solving equations. It's important to practice solving various types of equations and familiarize yourself with the basic principles before relying solely on flowcharts.