Solve for n 4/5*(n-10)=-8/9

Math
45⋅(n-10)=-89
Multiply both sides of the equation by 54.
54⋅45⋅(n-10)=54⋅(-89)
Simplify both sides of the equation.
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Simplify 54⋅45⋅(n-10).
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Cancel the common factor of 5.
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Cancel the common factor.
54⋅45⋅(n-10)=54⋅(-89)
Rewrite the expression.
14⋅4⋅(n-10)=54⋅(-89)
14⋅4⋅(n-10)=54⋅(-89)
Cancel the common factor of 4.
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Cancel the common factor.
14⋅4⋅(n-10)=54⋅(-89)
Rewrite the expression.
1⋅(n-10)=54⋅(-89)
1⋅(n-10)=54⋅(-89)
Multiply n-10 by 1.
n-10=54⋅(-89)
n-10=54⋅(-89)
Simplify 54⋅(-89).
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Cancel the common factor of 4.
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Move the leading negative in -89 into the numerator.
n-10=54⋅-89
Factor 4 out of -8.
n-10=54⋅4(-2)9
Cancel the common factor.
n-10=54⋅4⋅-29
Rewrite the expression.
n-10=5⋅-29
n-10=5⋅-29
Combine 5 and -29.
n-10=5⋅-29
Simplify the expression.
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Multiply 5 by -2.
n-10=-109
Move the negative in front of the fraction.
n-10=-109
n-10=-109
n-10=-109
n-10=-109
Move all terms not containing n to the right side of the equation.
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Add 10 to both sides of the equation.
n=-109+10
To write 10 as a fraction with a common denominator, multiply by 99.
n=-109+10⋅99
Combine 10 and 99.
n=-109+10⋅99
Combine the numerators over the common denominator.
n=-10+10⋅99
Simplify the numerator.
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Multiply 10 by 9.
n=-10+909
Add -10 and 90.
n=809
n=809
n=809
The result can be shown in multiple forms.
Exact Form:
n=809
Decimal Form:
n=8.8‾
Mixed Number Form:
n=889
Solve for n 4/5*(n-10)=-8/9

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