Solve for n 1/3+n+96=1/2

Math
13+n+96=12
Simplify 13+n+96.
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To write 96 as a fraction with a common denominator, multiply by 33.
n+13+96⋅33=12
Combine 96 and 33.
n+13+96⋅33=12
Combine the numerators over the common denominator.
n+1+96⋅33=12
Simplify the numerator.
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Multiply 96 by 3.
n+1+2883=12
Add 1 and 288.
n+2893=12
n+2893=12
n+2893=12
Move all terms not containing n to the right side of the equation.
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Subtract 2893 from both sides of the equation.
n=12-2893
To write 12 as a fraction with a common denominator, multiply by 33.
n=12⋅33-2893
To write -2893 as a fraction with a common denominator, multiply by 22.
n=12⋅33-2893⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
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Multiply 12 and 33.
n=32⋅3-2893⋅22
Multiply 2 by 3.
n=36-2893⋅22
Multiply 2893 and 22.
n=36-289⋅23⋅2
Multiply 3 by 2.
n=36-289⋅26
n=36-289⋅26
Combine the numerators over the common denominator.
n=3-289⋅26
Simplify the numerator.
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Multiply -289 by 2.
n=3-5786
Subtract 578 from 3.
n=-5756
n=-5756
Move the negative in front of the fraction.
n=-5756
n=-5756
The result can be shown in multiple forms.
Exact Form:
n=-5756
Decimal Form:
n=-95.83‾
Mixed Number Form:
n=-9556
Solve for n 1/3+n+96=1/2

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