Question

How do you simplify $3b+8+2b$?

Answer 1

Hint: The equation is in number and variable form. To simplify the equation either we need to combine the terms or multiply the terms according to the given operation signs. Here only the addition operation sign is present in the equation. So, we need to simplify the equation by adding the terms. Now we need to add the terms which are having the same variable or same number.

Complete step-by-step solution:
Here in the question the given equation $3b+8+2b$
To simplify the above equation we need to solve the same terms.
Here there are three terms in the equations. In this type of questions, we need to search for the
Terms that are repeated more than once or which have the same variable.
In the equation, $3b+8+2b$ two terms are of the same and one term is different.
Here the same terms are $3b$ and $2b$ with the same variable and different coefficient. $8$ is a different
term.
So, let’s combine the two same terms.
$\Rightarrow 3b+8+2b$
Let’s write $3b$ and $2b$ in one bracket.
$\Rightarrow \left( 3b+2b \right)+ 8$
Now we get the combined equation is
$\Rightarrow 5b+8$
$\therefore 3b+8+2b=5b+8$
Hence the simplified equation for $3b+8+2b$ is $5b+8$.

Note: The above equation given in the question is a variable expression. A variable expression will contain numbers along with the variables. Operations in the variable expression can be varied. The terms in variable expressions will be the combination of number and variable or only variable or only number.
Examples:
$4x+y+3$
Here $4x$ is the combination of number and variable.
$y$ Is the term that has only variables.
 $3$ Is the term that has the only number.