# Solve for b -1/3=7/8+b -13=78+b
Rewrite the equation as 78+b=-13.
78+b=-13
Move the negative in front of the fraction.
78+b=-13
Move all terms not containing b to the right side of the equation.
Subtract 78 from both sides of the equation.
b=-13-78
To write -13 as a fraction with a common denominator, multiply by 88.
b=-13⋅88-78
To write -78 as a fraction with a common denominator, multiply by 33.
b=-13⋅88-78⋅33
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 13 and 88.
b=-83⋅8-78⋅33
Multiply 3 by 8.
b=-824-78⋅33
Multiply 78 and 33.
b=-824-7⋅38⋅3
Multiply 8 by 3.
b=-824-7⋅324
b=-824-7⋅324
Combine the numerators over the common denominator.
b=-8-7⋅324
Simplify the numerator.
Multiply -7 by 3.
b=-8-2124
Subtract 21 from -8.
b=-2924
b=-2924
Move the negative in front of the fraction.
b=-2924
b=-2924
The result can be shown in multiple forms.
Exact Form:
b=-2924
Decimal Form:
b=-1.2083‾
Mixed Number Form:
b=-1524
Solve for b -1/3=7/8+b

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