Solve for a 0.04956=65.39a+(0.0920-a)*24.31

Math
0.04956=65.39a+(0.092-a)⋅24.31
Rewrite the equation as 65.39a+(0.092-a)⋅24.31=0.04956.
65.39a+(0.092-a)⋅24.31=0.04956
Simplify 65.39a+(0.092-a)⋅24.31.
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Simplify each term.
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Apply the distributive property.
65.39a+0.092⋅24.31-a⋅24.31=0.04956
Multiply 0.092 by 24.31.
65.39a+2.23652-a⋅24.31=0.04956
Multiply 24.31 by -1.
65.39a+2.23652-24.31a=0.04956
65.39a+2.23652-24.31a=0.04956
Subtract 24.31a from 65.39a.
41.08a+2.23652=0.04956
41.08a+2.23652=0.04956
Move all terms not containing a to the right side of the equation.
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Subtract 2.23652 from both sides of the equation.
41.08a=0.04956-2.23652
Subtract 2.23652 from 0.04956.
41.08a=-2.18696
41.08a=-2.18696
Divide each term by 41.08 and simplify.
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Divide each term in 41.08a=-2.18696 by 41.08.
41.08a41.08=-2.1869641.08
Cancel the common factor of 41.08.
a=-2.1869641.08
Divide -2.18696 by 41.08.
a=-0.05323661
a=-0.05323661
Solve for a 0.04956=65.39a+(0.0920-a)*24.31

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