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

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


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

Reorder the terms:
2(3 + u) = -2(4u + -8) + 2u
(3 * 2 + u * 2) = -2(4u + -8) + 2u
(6 + 2u) = -2(4u + -8) + 2u

Reorder the terms:
6 + 2u = -2(-8 + 4u) + 2u
6 + 2u = (-8 * -2 + 4u * -2) + 2u
6 + 2u = (16 + -8u) + 2u

Combine like terms: -8u + 2u = -6u
6 + 2u = 16 + -6u

Solving
6 + 2u = 16 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
6 + 2u + 6u = 16 + -6u + 6u

Combine like terms: 2u + 6u = 8u
6 + 8u = 16 + -6u + 6u

Combine like terms: -6u + 6u = 0
6 + 8u = 16 + 0
6 + 8u = 16

Add '-6' to each side of the equation.
6 + -6 + 8u = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 8u = 16 + -6
8u = 16 + -6

Combine like terms: 16 + -6 = 10
8u = 10

Divide each side by '8'.
u = 1.25

Simplifying
u = 1.25

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