u+1-2(-8u-2)=5(u-1)

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Solution for u+1-2(-8u-2)=5(u-1) equation:


Simplifying
u + 1 + -2(-8u + -2) = 5(u + -1)

Reorder the terms:
u + 1 + -2(-2 + -8u) = 5(u + -1)
u + 1 + (-2 * -2 + -8u * -2) = 5(u + -1)
u + 1 + (4 + 16u) = 5(u + -1)

Reorder the terms:
1 + 4 + u + 16u = 5(u + -1)

Combine like terms: 1 + 4 = 5
5 + u + 16u = 5(u + -1)

Combine like terms: u + 16u = 17u
5 + 17u = 5(u + -1)

Reorder the terms:
5 + 17u = 5(-1 + u)
5 + 17u = (-1 * 5 + u * 5)
5 + 17u = (-5 + 5u)

Solving
5 + 17u = -5 + 5u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-5u' to each side of the equation.
5 + 17u + -5u = -5 + 5u + -5u

Combine like terms: 17u + -5u = 12u
5 + 12u = -5 + 5u + -5u

Combine like terms: 5u + -5u = 0
5 + 12u = -5 + 0
5 + 12u = -5

Add '-5' to each side of the equation.
5 + -5 + 12u = -5 + -5

Combine like terms: 5 + -5 = 0
0 + 12u = -5 + -5
12u = -5 + -5

Combine like terms: -5 + -5 = -10
12u = -10

Divide each side by '12'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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