I take variable $b$, double it, and add four. I subtract $4b$ from this new expression, and divide the resulting difference by two. What is my final expression in simplest form?

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ariawoolley ariawoolley · Answer 1 · 2020-08-23T18:08:53+02:00

Answer:

-b+2 or 2-b

Step-by-step explanation:

We first obtain 2 * b + 4. Next, we get 2b + 4 - 4b = -2b +4. Dividing this by two, we have -2/2b + 4/2 = 2/2 b + 4/2.

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anuksha0456 anuksha0456 · Answer 2 · 2022-06-04T21:40:41+02:00

The final expression obtained after given operations is 2 - $b$.

Linear expressions are expressions involving constants and variables.

We are given that the person takes a variable $b$, doubles it, and adds four to it. He subtracts $4b$ from this and then divides the whole by 2.

So, we perform these operations on our variable $b$, to obtain the linear expression.

Variable: $b$

Doubles it, that is we multiply it by 2: 2*$b$

Adds 4: 2$b$ + 4.

Subtracts $4b$: 2$b$ + 4 - $4b$ = 4 - $2b$

Divides by 2: (4 - 2$b$)/2 = 2 - $b$

The expression now: 2 - $b$.

∴ The final expression obtained after given operations is 2 - $b$.

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