Solve for n 1/5*(45n+100)=1/3*(27n-63)

Math
15⋅(45n+100)=13⋅(27n-63)
Simplify 15⋅(45n+100).
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Apply the distributive property.
15(45n)+15⋅100=13⋅(27n-63)
Cancel the common factor of 5.
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Factor 5 out of 45n.
15(5(9n))+15⋅100=13⋅(27n-63)
Cancel the common factor.
15(5(9n))+15⋅100=13⋅(27n-63)
Rewrite the expression.
9n+15⋅100=13⋅(27n-63)
9n+15⋅100=13⋅(27n-63)
Cancel the common factor of 5.
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Factor 5 out of 100.
9n+15⋅(5(20))=13⋅(27n-63)
Cancel the common factor.
9n+15⋅(5⋅20)=13⋅(27n-63)
Rewrite the expression.
9n+20=13⋅(27n-63)
9n+20=13⋅(27n-63)
9n+20=13⋅(27n-63)
Simplify 13⋅(27n-63).
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Apply the distributive property.
9n+20=13(27n)+13⋅-63
Cancel the common factor of 3.
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Factor 3 out of 27n.
9n+20=13(3(9n))+13⋅-63
Cancel the common factor.
9n+20=13(3(9n))+13⋅-63
Rewrite the expression.
9n+20=9n+13⋅-63
9n+20=9n+13⋅-63
Cancel the common factor of 3.
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Factor 3 out of -63.
9n+20=9n+13⋅(3(-21))
Cancel the common factor.
9n+20=9n+13⋅(3⋅-21)
Rewrite the expression.
9n+20=9n-21
9n+20=9n-21
9n+20=9n-21
Move all terms containing n to the left side of the equation.
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Subtract 9n from both sides of the equation.
9n+20-9n=-21
Combine the opposite terms in 9n+20-9n.
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Subtract 9n from 9n.
0+20=-21
Add 0 and 20.
20=-21
20=-21
20=-21
Since 20≠-21, there are no solutions.
No solution
Solve for n 1/5*(45n+100)=1/3*(27n-63)

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