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Develop an equation with a variable that results in the solution m = 4. Provide your step-by-step work to demonstrate the validity of your equation's solution, m = 4.

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Final answer:

An equation with a variable that results in m = 4 can be developed by creating an equation m + a = b with known values for a and b such that b is 4 units greater than a. By choosing a = 2 and b = 6, the equation m + 2 = 6 can be solved to find m = 4.

Step-by-step explanation:

To develop an equation with a variable that results in the solution m = 4, let's start with a simple equation and manipulate it.

Step 1: Let's take the equation m = x, where x is a placeholder for any number. To get m = 4, we simply need to replace x with 4. However, this doesn't show our understanding of algebraic manipulation, so let's make a more complex equation.

Step 2: We now take the equation m + a = b, with a and b being known values. In order to solve for m, we will need to have b be greater than a by 4.

Step 3: Let's choose a value for a. Suppose a = 2. We need b to be 4 more than a, which gives us b = 6.

Step 4: Substitute the values into the equation to get m + 2 = 6.

Step 5: To solve for m, we subtract 2 from both sides of the equation, which gives us m = 6 - 2.

Step 6: Doing the subtraction, we find that m = 4, which is the correct solution.

Therefore, the equation m + 2 = 6 results in the solution m = 4 when solved.

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