# Solve for w -5/-6+w=5/8 -5-6+w=58
Dividing two negative values results in a positive value.
56+w=58
Move all terms not containing w to the right side of the equation.
Subtract 56 from both sides of the equation.
w=58-56
To write 58 as a fraction with a common denominator, multiply by 33.
w=58⋅33-56
To write -56 as a fraction with a common denominator, multiply by 44.
w=58⋅33-56⋅44
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 58 and 33.
w=5⋅38⋅3-56⋅44
Multiply 8 by 3.
w=5⋅324-56⋅44
Multiply 56 and 44.
w=5⋅324-5⋅46⋅4
Multiply 6 by 4.
w=5⋅324-5⋅424
w=5⋅324-5⋅424
Combine the numerators over the common denominator.
w=5⋅3-5⋅424
Simplify the numerator.
Multiply 5 by 3.
w=15-5⋅424
Multiply -5 by 4.
w=15-2024
Subtract 20 from 15.
w=-524
w=-524
Move the negative in front of the fraction.
w=-524
w=-524
The result can be shown in multiple forms.
Exact Form:
w=-524
Decimal Form:
w=-0.2083‾
Solve for w -5/-6+w=5/8

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