Solve for a 100=9/5a+32

Math
100=95a+32
Rewrite the equation as 95a+32=100.
95a+32=100
Combine 95 and a.
9a5+32=100
Move all terms not containing a to the right side of the equation.
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Subtract 32 from both sides of the equation.
9a5=100-32
Subtract 32 from 100.
9a5=68
9a5=68
Multiply both sides of the equation by 59.
59⋅9a5=59⋅68
Simplify both sides of the equation.
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Simplify 59⋅9a5.
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Cancel the common factor of 5.
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Cancel the common factor.
59⋅9a5=59⋅68
Rewrite the expression.
19⋅(9a)=59⋅68
19⋅(9a)=59⋅68
Cancel the common factor of 9.
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Factor 9 out of 9a.
19⋅(9(a))=59⋅68
Cancel the common factor.
19⋅(9a)=59⋅68
Rewrite the expression.
a=59⋅68
a=59⋅68
a=59⋅68
Multiply 59⋅68.
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Combine 59 and 68.
a=5⋅689
Multiply 5 by 68.
a=3409
a=3409
a=3409
The result can be shown in multiple forms.
Exact Form:
a=3409
Decimal Form:
a=37.7‾
Mixed Number Form:
a=3779
Solve for a 100=9/5a+32

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