Question

7/2p-(p+4)=6 find the value of p​

Answer 1

Answer:

Step-by-step explanation:

7p/2-p+4=6

7p-2p/2=2

5p/2=2

5p=4

p=4/5

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Answer 2

Answer:

=> p = 4

Step-by-step explanation:

Given that:-

$\frac{7}{2} p-(p+4)=6$

To find:- The value of the expression,

In order to solve that, we have to use the concept of BODMAS:

It is the sequence of various mathematical operations which is used to solve the various expressions.

As we have,

$=> \frac{7}{2} p-(p+4)=6$

Combine multiplied terms into a single fraction:

$=> \frac{7p}{2} -(p+4)=6$

Now, distribute the terms:

$=> \frac{7p}{2} -p-4=6$

Find the common denominator, we get

$=> \frac{7p}{2} +\frac{2(-p)}{2} +\frac{2(-4)}{2} =6$

Combine fractions:

=> $\frac{7 p + 2 ( - p ) + 2 (- 4 )}{2}=6$

Multiply the numbers:

$=> \frac{7p-2p+2(-4)}{2}=6$

$=> \frac{7p-2p-8}{2}=6$

Combine like terms:

$=> \frac{5p-8}{2}=6$

Multiply both sides by $2$ for eliminate terms in the denominator,

$=> \frac{5p-8}{2}\times 2=6\times 2$

Simplifying it further, we get

=> $5p-8=12$

Add both sides by $8$, we get

=> $5p-8+8=12+8$

=> $5p=20$

Divide both sides by $5$:

=> $p=4$

Hence, the required solution is 4.