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0.4q+0.9(1-q)=0.9q+0.4(1-q)
We move all terms to the left:
0.4q+0.9(1-q)-(0.9q+0.4(1-q))=0
We add all the numbers together, and all the variables
0.4q+0.9(-1q+1)-(0.9q+0.4(-1q+1))=0
We multiply parentheses
0.4q-0.9q-(0.9q+0.4(-1q+1))+0.9=0
We calculate terms in parentheses: -(0.9q+0.4(-1q+1)), so:We add all the numbers together, and all the variables
0.9q+0.4(-1q+1)
We multiply parentheses
0.9q-0.4q+0.4
We add all the numbers together, and all the variables
0.5q+0.4
Back to the equation:
-(0.5q+0.4)
-0.5q-(0.5q+0.4)+0.9=0
We get rid of parentheses
-0.5q-0.5q-0.4+0.9=0
We add all the numbers together, and all the variables
-1q+0.5=0
We move all terms containing q to the left, all other terms to the right
-q=-0.5
q=-0.5/-1
q=0.5/1
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