Solve for a 8/4=16/(a-4)

Math
84=16a-4
Rewrite the equation as 16a-4=84.
16a-4=84
Divide 8 by 4.
16a-4=2
Solve for a.
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Multiply each term by a-4 and simplify.
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Multiply each term in 16a-4=2 by a-4.
16a-4⋅(a-4)=2⋅(a-4)
Cancel the common factor of a-4.
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Cancel the common factor.
16a-4⋅(a-4)=2⋅(a-4)
Rewrite the expression.
16=2⋅(a-4)
16=2⋅(a-4)
Simplify 2⋅(a-4).
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Apply the distributive property.
16=2a+2⋅-4
Multiply 2 by -4.
16=2a-8
16=2a-8
16=2a-8
Rewrite the equation as 2a-8=16.
2a-8=16
Move all terms not containing a to the right side of the equation.
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Add 8 to both sides of the equation.
2a=16+8
Add 16 and 8.
2a=24
2a=24
Divide each term by 2 and simplify.
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Divide each term in 2a=24 by 2.
2a2=242
Cancel the common factor of 2.
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Cancel the common factor.
2a2=242
Divide a by 1.
a=242
a=242
Divide 24 by 2.
a=12
a=12
a=12
Solve for a 8/4=16/(a-4)

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