Question

explain this equation

( \text{-}14 + \frac{3}{2} b) - ( 1 + \frac{8}{2} b)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To explain the equation ( -14 + (3/2)b) - (1 + (8/2)b), we can break it down step by step.

First, inside the first parentheses, we have -14 + (3/2)b.

-14 is a constant term that is being subtracted.

(3/2)b represents a fraction multiplied by the variable b.

Adding these two terms together, we get -14 + (3/2)b.

Next, inside the second parentheses, we have 1 + (8/2)b.

1 is a constant term that is being added.

(8/2)b represents another fraction multiplied by the variable b.

Adding these two terms together, we get 1 + (8/2)b.

Finally, we subtract the entire expression inside the second parentheses from the expression inside the first parentheses.

This can be written as ( -14 + (3/2)b) - (1 + (8/2)b).

To simplify this further, we can distribute the negative sign into the second parentheses:

-14 + (3/2)b - 1 - (8/2)b.

Now, we can combine like terms:

-14 - 1 + (3/2)b - (8/2)b.

This simplifies to:

-15 - (5/2)b.

So, the equation ( -14 + (3/2)b) - (1 + (8/2)b) is equivalent to -15 - (5/2)b.