5u+4-6(-3u-1)=5(u-1)

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Solution for 5u+4-6(-3u-1)=5(u-1) equation: 


Simplifying
5u + 4 + -6(-3u + -1) = 5(u + -1)

Reorder the terms:
5u + 4 + -6(-1 + -3u) = 5(u + -1)
5u + 4 + (-1 * -6 + -3u * -6) = 5(u + -1)
5u + 4 + (6 + 18u) = 5(u + -1)

Reorder the terms:
4 + 6 + 5u + 18u = 5(u + -1)

Combine like terms: 4 + 6 = 10
10 + 5u + 18u = 5(u + -1)

Combine like terms: 5u + 18u = 23u
10 + 23u = 5(u + -1)

Reorder the terms:
10 + 23u = 5(-1 + u)
10 + 23u = (-1 * 5 + u * 5)
10 + 23u = (-5 + 5u)

Solving
10 + 23u = -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.
10 + 23u + -5u = -5 + 5u + -5u

Combine like terms: 23u + -5u = 18u
10 + 18u = -5 + 5u + -5u

Combine like terms: 5u + -5u = 0
10 + 18u = -5 + 0
10 + 18u = -5

Add '-10' to each side of the equation.
10 + -10 + 18u = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 18u = -5 + -10
18u = -5 + -10

Combine like terms: -5 + -10 = -15
18u = -15

Divide each side by '18'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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