Solve for u 2(u-1)=2u+2-2(-8u-1)

Math
2(u-1)=2u+2-2(-8u-1)
Since u is on the right side of the equation, switch the sides so it is on the left side of the equation.
2u+2-2(-8u-1)=2(u-1)
Simplify 2u+2-2(-8u-1).
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Simplify each term.
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Apply the distributive property.
2u+2-2(-8u)-2⋅-1=2(u-1)
Multiply -8 by -2.
2u+2+16u-2⋅-1=2(u-1)
Multiply -2 by -1.
2u+2+16u+2=2(u-1)
2u+2+16u+2=2(u-1)
Simplify by adding terms.
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Add 2u and 16u.
18u+2+2=2(u-1)
Add 2 and 2.
18u+4=2(u-1)
18u+4=2(u-1)
18u+4=2(u-1)
Simplify 2(u-1).
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Apply the distributive property.
18u+4=2u+2⋅-1
Multiply 2 by -1.
18u+4=2u-2
18u+4=2u-2
Move all terms containing u to the left side of the equation.
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Subtract 2u from both sides of the equation.
18u+4-2u=-2
Subtract 2u from 18u.
16u+4=-2
16u+4=-2
Move all terms not containing u to the right side of the equation.
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Subtract 4 from both sides of the equation.
16u=-2-4
Subtract 4 from -2.
16u=-6
16u=-6
Divide each term by 16 and simplify.
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Divide each term in 16u=-6 by 16.
16u16=-616
Cancel the common factor of 16.
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Cancel the common factor.
16u16=-616
Divide u by 1.
u=-616
u=-616
Simplify -616.
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Cancel the common factor of -6 and 16.
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Factor 2 out of -6.
u=2(-3)16
Cancel the common factors.
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Factor 2 out of 16.
u=2⋅-32⋅8
Cancel the common factor.
u=2⋅-32⋅8
Rewrite the expression.
u=-38
u=-38
u=-38
Move the negative in front of the fraction.
u=-38
u=-38
u=-38
The result can be shown in multiple forms.
Exact Form:
u=-38
Decimal Form:
u=-0.375
Solve for u 2(u-1)=2u+2-2(-8u-1)

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