-4+2(4U-2)=-2(2U-7)+6U

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Solution for -4+2(4U-2)=-2(2U-7)+6U equation: 


Simplifying
-4 + 2(4U + -2) = -2(2U + -7) + 6U

Reorder the terms:
-4 + 2(-2 + 4U) = -2(2U + -7) + 6U
-4 + (-2 * 2 + 4U * 2) = -2(2U + -7) + 6U
-4 + (-4 + 8U) = -2(2U + -7) + 6U

Combine like terms: -4 + -4 = -8
-8 + 8U = -2(2U + -7) + 6U

Reorder the terms:
-8 + 8U = -2(-7 + 2U) + 6U
-8 + 8U = (-7 * -2 + 2U * -2) + 6U
-8 + 8U = (14 + -4U) + 6U

Combine like terms: -4U + 6U = 2U
-8 + 8U = 14 + 2U

Solving
-8 + 8U = 14 + 2U

Solving for variable 'U'.

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

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

Combine like terms: 8U + -2U = 6U
-8 + 6U = 14 + 2U + -2U

Combine like terms: 2U + -2U = 0
-8 + 6U = 14 + 0
-8 + 6U = 14

Add '8' to each side of the equation.
-8 + 8 + 6U = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 6U = 14 + 8
6U = 14 + 8

Combine like terms: 14 + 8 = 22
6U = 22

Divide each side by '6'.
U = 3.666666667

Simplifying
U = 3.666666667

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