2+2(4u-5)=-2(4u-1)+8u

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Solution for 2+2(4u-5)=-2(4u-1)+8u equation: 


Simplifying
2 + 2(4u + -5) = -2(4u + -1) + 8u

Reorder the terms:
2 + 2(-5 + 4u) = -2(4u + -1) + 8u
2 + (-5 * 2 + 4u * 2) = -2(4u + -1) + 8u
2 + (-10 + 8u) = -2(4u + -1) + 8u

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

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

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

Solving
-8 + 8u = 2

Solving for variable 'u'.

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

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

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

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

Divide each side by '8'.
u = 1.25

Simplifying
u = 1.25

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