Solve for u 3(u-2)-2=-6(-3u+4)-9u

Math
3(u-2)-2=-6(-3u+4)-9u
Since u is on the right side of the equation, switch the sides so it is on the left side of the equation.
-6(-3u+4)-9u=3(u-2)-2
Simplify -6(-3u+4)-9u.
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Simplify each term.
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Apply the distributive property.
-6(-3u)-6⋅4-9u=3(u-2)-2
Multiply -3 by -6.
18u-6⋅4-9u=3(u-2)-2
Multiply -6 by 4.
18u-24-9u=3(u-2)-2
18u-24-9u=3(u-2)-2
Subtract 9u from 18u.
9u-24=3(u-2)-2
9u-24=3(u-2)-2
Simplify 3(u-2)-2.
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Simplify each term.
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Apply the distributive property.
9u-24=3u+3⋅-2-2
Multiply 3 by -2.
9u-24=3u-6-2
9u-24=3u-6-2
Subtract 2 from -6.
9u-24=3u-8
9u-24=3u-8
Move all terms containing u to the left side of the equation.
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Subtract 3u from both sides of the equation.
9u-24-3u=-8
Subtract 3u from 9u.
6u-24=-8
6u-24=-8
Move all terms not containing u to the right side of the equation.
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Add 24 to both sides of the equation.
6u=-8+24
Add -8 and 24.
6u=16
6u=16
Divide each term by 6 and simplify.
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Divide each term in 6u=16 by 6.
6u6=166
Cancel the common factor of 6.
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Cancel the common factor.
6u6=166
Divide u by 1.
u=166
u=166
Cancel the common factor of 16 and 6.
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Factor 2 out of 16.
u=2(8)6
Cancel the common factors.
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Factor 2 out of 6.
u=2⋅82⋅3
Cancel the common factor.
u=2⋅82⋅3
Rewrite the expression.
u=83
u=83
u=83
u=83
The result can be shown in multiple forms.
Exact Form:
u=83
Decimal Form:
u=2.6‾
Mixed Number Form:
u=223
Solve for u 3(u-2)-2=-6(-3u+4)-9u

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