Solve for a 3(3a-2)=3/4*(4-24a)

Math
3(3a-2)=34⋅(4-24a)
Simplify 3(3a-2).
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Apply the distributive property.
3(3a)+3⋅-2=34⋅(4-24a)
Multiply.
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Multiply 3 by 3.
9a+3⋅-2=34⋅(4-24a)
Multiply 3 by -2.
9a-6=34⋅(4-24a)
9a-6=34⋅(4-24a)
9a-6=34⋅(4-24a)
Simplify 34⋅(4-24a).
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Apply the distributive property.
9a-6=34⋅4+34(-24a)
Cancel the common factor of 4.
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Cancel the common factor.
9a-6=34⋅4+34(-24a)
Rewrite the expression.
9a-6=3+34(-24a)
9a-6=3+34(-24a)
Cancel the common factor of 4.
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Factor 4 out of -24a.
9a-6=3+34(4(-6a))
Cancel the common factor.
9a-6=3+34(4(-6a))
Rewrite the expression.
9a-6=3+3(-6a)
9a-6=3+3(-6a)
Multiply -6 by 3.
9a-6=3-18a
9a-6=3-18a
Move all terms containing a to the left side of the equation.
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Add 18a to both sides of the equation.
9a-6+18a=3
Add 9a and 18a.
27a-6=3
27a-6=3
Move all terms not containing a to the right side of the equation.
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Add 6 to both sides of the equation.
27a=3+6
Add 3 and 6.
27a=9
27a=9
Divide each term by 27 and simplify.
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Divide each term in 27a=9 by 27.
27a27=927
Cancel the common factor of 27.
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Cancel the common factor.
27a27=927
Divide a by 1.
a=927
a=927
Cancel the common factor of 9 and 27.
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Factor 9 out of 9.
a=9(1)27
Cancel the common factors.
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Factor 9 out of 27.
a=9⋅19⋅3
Cancel the common factor.
a=9⋅19⋅3
Rewrite the expression.
a=13
a=13
a=13
a=13
The result can be shown in multiple forms.
Exact Form:
a=13
Decimal Form:
a=0.3‾
Solve for a 3(3a-2)=3/4*(4-24a)

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