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Answer:
p=1
Step-by-step explanation:
2/5+p=4/5+3/5p
[tex]\frac{2}{5} +p= \frac{4}{5} +\frac{3}{5} p[/tex]
p or p/1 are same
LCD is 5, multiply 5 with each term. the equation becomes
[tex]\frac{2}{5} \cdot 5+p \cdot 5= \frac{4}{5} \cdot 5 +\frac{3}{5}p \cdot 5[/tex]
[tex]2+5p = 4 +3p[/tex]
Subtract 3p from both sides
[tex]2+2p = 4[/tex]
Subtract 2 on both sides
[tex]2p= 2[/tex]
Divide by 2 on both sides
p= 1
So the value of p =1 for the given equation
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