Solution:

To solve the equation 20m/3 = 40 for m, we need to isolate the variable m on one side of the equation. Let's go step by step to find the value of m.

Step 1: Multiply both sides of the equation by 3 to eliminate the fraction:

20m/3 * 3 = 40 * 3

Simplifying the left side of the equation, we get:

20m = 120

Step 2: Divide both sides of the equation by 20 to isolate the variable m:

20m/20 = 120/20

Simplifying further, we have:

m = 6

Therefore, the solution to the equation 20m/3 = 40 is m = 6.

Explanation:

To solve the equation, we need to apply the basic principles of algebra to isolate the variable m. Here's a breakdown of the steps involved:

1. Multiplying both sides of the equation by 3 helps us eliminate the fraction. By doing so, we get rid of the denominator on the left side of the equation, leaving us with just 20m.

2. After multiplying by 3, we have 20m = 120. This equation states that 20 times some unknown value m is equal to 120.

3. To isolate the variable m, we divide both sides of the equation by 20. Dividing by 20 cancels out the multiplication on the left side, leaving us with just m.

4. Simplifying the right side of the equation, 120 divided by 20 is equal to 6.

5. Thus, we conclude that the value of m that satisfies the equation is 6.

In summary, by applying the principles of algebra and performing the necessary operations, we find that the solution to the equation 20m/3 = 40 is m = 6.