Answer:
3
Explanation:
Let's call the number we're trying to find "x".
The problem states that the difference between 7 and x, all multiplied by 6, is 24:
6(7 - x) = 24
We can simplify this equation by distributing the 6:
42 - 6x = 24
Now, we want to isolate the variable (x) on one side of the equation. We can do this by adding 6x to both sides:
42 - 6x + 6x = 24 + 6x
The -6x and +6x cancel out on the left side, leaving us with:
42 = 24 + 6x
Next, we want to isolate x by subtracting 24 from both sides:
42 - 24 = 24 - 24 + 6x
18 = 6x
Finally, we solve for x by dividing both sides by 6:
18/6 = 6x/6
3 = x
So the number we're looking for is 3.
Therefore, the solution to the problem is that the number is 3.