Final answer:
To find the equation for 11 less than 3 times a number is the same as 75 less than the product of -1 and the number, we let 'x' represent the number. By setting up the equation and simplifying, we find that the value of 'x' is -32.
Step-by-step explanation:
To write the equation for 11 less than 3 times a number is the same as 75 less than the product of -1 and the number, we need to define a variable for the number. Let's say the number is 'x'.
The equation can then be expressed as: 3x - 11 = -x * (-1) - 75.
After simplifying, we get: 3x - 11 = x - 75.
To solve for 'x', we can subtract 'x' from both sides of the equation to get: 3x - x - 11 = -75.
Combining like terms, we have: 2x - 11 = -75.
Finally, we can add 11 to both sides of the equation to isolate 'x': 2x = -75 + 11.
Simplifying further, we get: 2x = -64.
Dividing both sides by 2 gives us the value of 'x': x = -32.