Solve for a 2/3a+1/3=3/7-1/3a+3/7

Math
23a+13=37-13a+37
Combine 23 and a.
2a3+13=37-13a+37
Simplify 37-13a+37.
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Combine fractions with similar denominators.
2a3+13=-13a+3+37
Add 3 and 3.
2a3+13=-13a+67
Combine a and 13.
2a3+13=-a3+67
2a3+13=-a3+67
Move all terms containing a to the left side of the equation.
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Add a3 to both sides of the equation.
2a3+13+a3=67
Combine fractions with similar denominators.
2a+1+a3=67
Add 2a and a.
3a+13=67
3a+13=67
Multiply both sides of the equation by 3.
3a+1=67⋅(3)
Remove parentheses.
3a+1=67⋅(3)
Multiply 67(3).
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Combine 67 and 3.
3a+1=6⋅37
Multiply 6 by 3.
3a+1=187
3a+1=187
Move all terms not containing a to the right side of the equation.
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Subtract 1 from both sides of the equation.
3a=187-1
To write -1 as a fraction with a common denominator, multiply by 77.
3a=187-1⋅77
Combine -1 and 77.
3a=187+-1⋅77
Combine the numerators over the common denominator.
3a=18-1⋅77
Simplify the numerator.
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Multiply -1 by 7.
3a=18-77
Subtract 7 from 18.
3a=117
3a=117
3a=117
Divide each term by 3 and simplify.
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Divide each term in 3a=117 by 3.
3a3=117⋅13
Cancel the common factor of 3.
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Cancel the common factor.
3a3=117⋅13
Divide a by 1.
a=117⋅13
a=117⋅13
Multiply 117⋅13.
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Multiply 117 and 13.
a=117⋅3
Multiply 7 by 3.
a=1121
a=1121
a=1121
The result can be shown in multiple forms.
Exact Form:
a=1121
Decimal Form:
a=0.523809‾
Solve for a 2/3a+1/3=3/7-1/3a+3/7

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