Solve for n (2n)/3=4/9

Math
2n3=49
Multiply both sides of the equation by 32.
32⋅2n3=32⋅49
Simplify both sides of the equation.
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Simplify 32⋅2n3.
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Cancel the common factor of 3.
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Cancel the common factor.
32⋅2n3=32⋅49
Rewrite the expression.
12⋅(2n)=32⋅49
12⋅(2n)=32⋅49
Cancel the common factor of 2.
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Factor 2 out of 2n.
12⋅(2(n))=32⋅49
Cancel the common factor.
12⋅(2n)=32⋅49
Rewrite the expression.
n=32⋅49
n=32⋅49
n=32⋅49
Simplify 32⋅49.
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Cancel the common factor of 3.
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Factor 3 out of 9.
n=32⋅43(3)
Cancel the common factor.
n=32⋅43⋅3
Rewrite the expression.
n=12⋅43
n=12⋅43
Cancel the common factor of 2.
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Factor 2 out of 4.
n=12⋅2(2)3
Cancel the common factor.
n=12⋅2⋅23
Rewrite the expression.
n=23
n=23
n=23
n=23
The result can be shown in multiple forms.
Exact Form:
n=23
Decimal Form:
n=0.6‾
Solve for n (2n)/3=4/9

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