2(u+4)=-7(2u-2)+2u

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Solution for 2(u+4)=-7(2u-2)+2u equation: 


Simplifying
2(u + 4) = -7(2u + -2) + 2u

Reorder the terms:
2(4 + u) = -7(2u + -2) + 2u
(4 * 2 + u * 2) = -7(2u + -2) + 2u
(8 + 2u) = -7(2u + -2) + 2u

Reorder the terms:
8 + 2u = -7(-2 + 2u) + 2u
8 + 2u = (-2 * -7 + 2u * -7) + 2u
8 + 2u = (14 + -14u) + 2u

Combine like terms: -14u + 2u = -12u
8 + 2u = 14 + -12u

Solving
8 + 2u = 14 + -12u

Solving for variable 'u'.

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

Add '12u' to each side of the equation.
8 + 2u + 12u = 14 + -12u + 12u

Combine like terms: 2u + 12u = 14u
8 + 14u = 14 + -12u + 12u

Combine like terms: -12u + 12u = 0
8 + 14u = 14 + 0
8 + 14u = 14

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

Combine like terms: 8 + -8 = 0
0 + 14u = 14 + -8
14u = 14 + -8

Combine like terms: 14 + -8 = 6
14u = 6

Divide each side by '14'.
u = 0.4285714286

Simplifying
u = 0.4285714286

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