U-(4-2u)=7(u-1)

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Solution for U-(4-2u)=7(u-1) equation: 


Simplifying
U + -1(4 + -2u) = 7(u + -1)
U + (4 * -1 + -2u * -1) = 7(u + -1)
U + (-4 + 2u) = 7(u + -1)

Reorder the terms:
-4 + U + 2u = 7(u + -1)

Reorder the terms:
-4 + U + 2u = 7(-1 + u)
-4 + U + 2u = (-1 * 7 + u * 7)
-4 + U + 2u = (-7 + 7u)

Solving
-4 + U + 2u = -7 + 7u

Solving for variable 'U'.

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

Add '4' to each side of the equation.
-4 + U + 4 + 2u = -7 + 4 + 7u

Reorder the terms:
-4 + 4 + U + 2u = -7 + 4 + 7u

Combine like terms: -4 + 4 = 0
0 + U + 2u = -7 + 4 + 7u
U + 2u = -7 + 4 + 7u

Combine like terms: -7 + 4 = -3
U + 2u = -3 + 7u

Add '-2u' to each side of the equation.
U + 2u + -2u = -3 + 7u + -2u

Combine like terms: 2u + -2u = 0
U + 0 = -3 + 7u + -2u
U = -3 + 7u + -2u

Combine like terms: 7u + -2u = 5u
U = -3 + 5u

Simplifying
U = -3 + 5u

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