2(u+6)=-2(5u-4)+2u

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Solution for 2(u+6)=-2(5u-4)+2u equation: 


Simplifying
2(u + 6) = -2(5u + -4) + 2u

Reorder the terms:
2(6 + u) = -2(5u + -4) + 2u
(6 * 2 + u * 2) = -2(5u + -4) + 2u
(12 + 2u) = -2(5u + -4) + 2u

Reorder the terms:
12 + 2u = -2(-4 + 5u) + 2u
12 + 2u = (-4 * -2 + 5u * -2) + 2u
12 + 2u = (8 + -10u) + 2u

Combine like terms: -10u + 2u = -8u
12 + 2u = 8 + -8u

Solving
12 + 2u = 8 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
12 + 2u + 8u = 8 + -8u + 8u

Combine like terms: 2u + 8u = 10u
12 + 10u = 8 + -8u + 8u

Combine like terms: -8u + 8u = 0
12 + 10u = 8 + 0
12 + 10u = 8

Add '-12' to each side of the equation.
12 + -12 + 10u = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 10u = 8 + -12
10u = 8 + -12

Combine like terms: 8 + -12 = -4
10u = -4

Divide each side by '10'.
u = -0.4

Simplifying
u = -0.4

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