Solve for L 310=2L+4/3L

Math
310=2L+43L
Rewrite the equation as 2L+43L=310.
2L+43L=310
Simplify 2L+43L.
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Combine 43 and L.
2L+4L3=310
To write 2L as a fraction with a common denominator, multiply by 33.
2L⋅33+4L3=310
Simplify terms.
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Combine 2L and 33.
2L⋅33+4L3=310
Combine the numerators over the common denominator.
2L⋅3+4L3=310
2L⋅3+4L3=310
Simplify the numerator.
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Factor 2L out of 2L⋅3+4L.
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Factor 2L out of 2L⋅3.
2L(3)+4L3=310
Factor 2L out of 4L.
2L(3)+2L(2)3=310
Factor 2L out of 2L(3)+2L(2).
2L(3+2)3=310
2L(3+2)3=310
Add 3 and 2.
2L⋅53=310
Multiply 5 by 2.
10L3=310
10L3=310
10L3=310
Multiply both sides of the equation by 310.
310⋅10L3=310⋅310
Simplify both sides of the equation.
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Simplify 310⋅10L3.
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Cancel the common factor of 3.
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Cancel the common factor.
310⋅10L3=310⋅310
Rewrite the expression.
110⋅(10L)=310⋅310
110⋅(10L)=310⋅310
Cancel the common factor of 10.
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Factor 10 out of 10L.
110⋅(10(L))=310⋅310
Cancel the common factor.
110⋅(10L)=310⋅310
Rewrite the expression.
L=310⋅310
L=310⋅310
L=310⋅310
Simplify 310⋅310.
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Cancel the common factor of 10.
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Factor 10 out of 310.
L=310⋅(10(31))
Cancel the common factor.
L=310⋅(10⋅31)
Rewrite the expression.
L=3⋅31
L=3⋅31
Multiply 3 by 31.
L=93
L=93
L=93
Solve for L 310=2L+4/3L

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