102.33=(1+r)(1-0.2)113.20

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Solution for 102.33=(1+r)(1-0.2)113.20 equation:



102.33=(1+r)(1-0.2)113.20
We move all terms to the left:
102.33-((1+r)(1-0.2)113.20)=0
We add all the numbers together, and all the variables
-((r+1)(0.8)113.20)+102.33=0
We multiply parentheses ..
-((+0.8r+0.8)113.20)+102.33=0
We calculate terms in parentheses: -((+0.8r+0.8)113.20), so:
(+0.8r+0.8)113.20
We add all the numbers together, and all the variables
(0.8r+0.8)113.20
We multiply parentheses
0r+90.56
We add all the numbers together, and all the variables
r+90.56
Back to the equation:
-(r+90.56)
We get rid of parentheses
-r-90.56+102.33=0
We add all the numbers together, and all the variables
-1r+11.77=0
We move all terms containing r to the left, all other terms to the right
-r=-11.77
r=-11.77/-1
r=11+0.77/1

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