8u+2-4(-3u-2)=4(u-1)

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Solution for 8u+2-4(-3u-2)=4(u-1) equation: 


Simplifying
8u + 2 + -4(-3u + -2) = 4(u + -1)

Reorder the terms:
8u + 2 + -4(-2 + -3u) = 4(u + -1)
8u + 2 + (-2 * -4 + -3u * -4) = 4(u + -1)
8u + 2 + (8 + 12u) = 4(u + -1)

Reorder the terms:
2 + 8 + 8u + 12u = 4(u + -1)

Combine like terms: 2 + 8 = 10
10 + 8u + 12u = 4(u + -1)

Combine like terms: 8u + 12u = 20u
10 + 20u = 4(u + -1)

Reorder the terms:
10 + 20u = 4(-1 + u)
10 + 20u = (-1 * 4 + u * 4)
10 + 20u = (-4 + 4u)

Solving
10 + 20u = -4 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
10 + 20u + -4u = -4 + 4u + -4u

Combine like terms: 20u + -4u = 16u
10 + 16u = -4 + 4u + -4u

Combine like terms: 4u + -4u = 0
10 + 16u = -4 + 0
10 + 16u = -4

Add '-10' to each side of the equation.
10 + -10 + 16u = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 16u = -4 + -10
16u = -4 + -10

Combine like terms: -4 + -10 = -14
16u = -14

Divide each side by '16'.
u = -0.875

Simplifying
u = -0.875

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