4u-4+2(5u+3)=-2(u+4)

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Solution for 4u-4+2(5u+3)=-2(u+4) equation: 


Simplifying
4u + -4 + 2(5u + 3) = -2(u + 4)

Reorder the terms:
4u + -4 + 2(3 + 5u) = -2(u + 4)
4u + -4 + (3 * 2 + 5u * 2) = -2(u + 4)
4u + -4 + (6 + 10u) = -2(u + 4)

Reorder the terms:
-4 + 6 + 4u + 10u = -2(u + 4)

Combine like terms: -4 + 6 = 2
2 + 4u + 10u = -2(u + 4)

Combine like terms: 4u + 10u = 14u
2 + 14u = -2(u + 4)

Reorder the terms:
2 + 14u = -2(4 + u)
2 + 14u = (4 * -2 + u * -2)
2 + 14u = (-8 + -2u)

Solving
2 + 14u = -8 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
2 + 14u + 2u = -8 + -2u + 2u

Combine like terms: 14u + 2u = 16u
2 + 16u = -8 + -2u + 2u

Combine like terms: -2u + 2u = 0
2 + 16u = -8 + 0
2 + 16u = -8

Add '-2' to each side of the equation.
2 + -2 + 16u = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 16u = -8 + -2
16u = -8 + -2

Combine like terms: -8 + -2 = -10
16u = -10

Divide each side by '16'.
u = -0.625

Simplifying
u = -0.625

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