# Solve for a 5=3+4a-1/6

5=3+4a-16
Rewrite the equation as 3+4a-16=5.
3+4a-16=5
Simplify 3+4a-16.
To write 3 as a fraction with a common denominator, multiply by 66.
4a+3⋅66-16=5
Combine 3 and 66.
4a+3⋅66-16=5
Combine the numerators over the common denominator.
4a+3⋅6-16=5
Simplify the numerator.
Multiply 3 by 6.
4a+18-16=5
Subtract 1 from 18.
4a+176=5
4a+176=5
4a+176=5
Move all terms not containing a to the right side of the equation.
Subtract 176 from both sides of the equation.
4a=5-176
To write 5 as a fraction with a common denominator, multiply by 66.
4a=5⋅66-176
Combine 5 and 66.
4a=5⋅66-176
Combine the numerators over the common denominator.
4a=5⋅6-176
Simplify the numerator.
Multiply 5 by 6.
4a=30-176
Subtract 17 from 30.
4a=136
4a=136
4a=136
Divide each term by 4 and simplify.
Divide each term in 4a=136 by 4.
4a4=136⋅14
Cancel the common factor of 4.
Cancel the common factor.
4a4=136⋅14
Divide a by 1.
a=136⋅14
a=136⋅14
Multiply 136⋅14.
Multiply 136 and 14.
a=136⋅4
Multiply 6 by 4.
a=1324
a=1324
a=1324
The result can be shown in multiple forms.
Exact Form:
a=1324
Decimal Form:
a=0.5416‾
Solve for a 5=3+4a-1/6

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