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

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


Simplifying
2u + -6 = 4(2 + -1u) + -2

Reorder the terms:
-6 + 2u = 4(2 + -1u) + -2
-6 + 2u = (2 * 4 + -1u * 4) + -2
-6 + 2u = (8 + -4u) + -2

Reorder the terms:
-6 + 2u = 8 + -2 + -4u

Combine like terms: 8 + -2 = 6
-6 + 2u = 6 + -4u

Solving
-6 + 2u = 6 + -4u

Solving for variable 'u'.

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

Add '4u' to each side of the equation.
-6 + 2u + 4u = 6 + -4u + 4u

Combine like terms: 2u + 4u = 6u
-6 + 6u = 6 + -4u + 4u

Combine like terms: -4u + 4u = 0
-6 + 6u = 6 + 0
-6 + 6u = 6

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

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

Combine like terms: 6 + 6 = 12
6u = 12

Divide each side by '6'.
u = 2

Simplifying
u = 2

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