p=0.95p+0.25(1-p)

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Solution for p=0.95p+0.25(1-p) equation:



p=0.95p+0.25(1-p)
We move all terms to the left:
p-(0.95p+0.25(1-p))=0
We add all the numbers together, and all the variables
p-(0.95p+0.25(-1p+1))=0
We calculate terms in parentheses: -(0.95p+0.25(-1p+1)), so:
0.95p+0.25(-1p+1)
We multiply parentheses
0.95p-0.25p+0.25
We add all the numbers together, and all the variables
0.7p+0.25
Back to the equation:
-(0.7p+0.25)
We get rid of parentheses
p-0.7p-0.25=0
We add all the numbers together, and all the variables
0.3p-0.25=0
We move all terms containing p to the left, all other terms to the right
0.3p=0.25
p=0.25/0.3
p=0.25/0.3

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