# Solve for K 0.09=3/5*((0.055)(1-0.35))+2/5(K)

0.09=35⋅((0.055)(1-0.35))+25(K)
Rewrite the equation as 35⋅((0.055)(1-0.35))+25(K)=0.09.
35⋅((0.055)(1-0.35))+25(K)=0.09
Simplify each term.
Subtract 0.35 from 1.
35⋅(0.055⋅0.65)+25(K)=0.09
Multiply 0.055 by 0.65.
35⋅0.03575+25(K)=0.09
Multiply 35⋅0.03575.
Combine 35 and 0.03575.
3⋅0.035755+25(K)=0.09
Multiply 3 by 0.03575.
0.107255+25(K)=0.09
0.107255+25(K)=0.09
Divide 0.10725 by 5.
0.02145+25(K)=0.09
Combine 25 and K.
0.02145+2K5=0.09
0.02145+2K5=0.09
Move all terms not containing K to the right side of the equation.
Subtract 0.02145 from both sides of the equation.
2K5=0.09-0.02145
Subtract 0.02145 from 0.09.
2K5=0.06855
2K5=0.06855
Multiply both sides of the equation by 52.
52⋅2K5=52⋅0.06855
Simplify both sides of the equation.
Simplify 52⋅2K5.
Cancel the common factor of 5.
Cancel the common factor.
52⋅2K5=52⋅0.06855
Rewrite the expression.
12⋅(2K)=52⋅0.06855
12⋅(2K)=52⋅0.06855
Cancel the common factor of 2.
Factor 2 out of 2K.
12⋅(2(K))=52⋅0.06855
Cancel the common factor.
12⋅(2K)=52⋅0.06855
Rewrite the expression.
K=52⋅0.06855
K=52⋅0.06855
K=52⋅0.06855
Simplify 52⋅0.06855.
Multiply 52⋅0.06855.
Combine 52 and 0.06855.
K=5⋅0.068552
Multiply 5 by 0.06855.
K=0.342752
K=0.342752
Divide 0.34275 by 2.
K=0.171375
K=0.171375
K=0.171375
Solve for K 0.09=3/5*((0.055)(1-0.35))+2/5(K)

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