The value of p is 1.
Given,
2/5 + p = 4/5 + (3/5)p
We need to find what is p.
We have,
2/5 + p = 4/5 + (3/5)p
Keep like terms on one side.
Subtract p on both sides.
2/5 + p - p = 4/5 + (3/5)p - p
2/5 = 4/5 + (3/5)p - p
Subtract 4/5 on both sides.
2/5 - 4/5 = 4/5 + (3/5)p - p - 4/5
2/5 - 4/5 = (3/5)p - p
(2 - 4) / 5 = (3p - 5p) / 5
-2 / 5 = -2p / 5
Minus canceled on both sides.
2 / 5 = (2 / 5)p
2/5 gets canceled on both sides
1 = p
p = 1
Thus the value of p is 1.
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