2u-2=3(3-u)-1

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Solution for 2u-2=3(3-u)-1 equation: 


Simplifying
2u + -2 = 3(3 + -1u) + -1

Reorder the terms:
-2 + 2u = 3(3 + -1u) + -1
-2 + 2u = (3 * 3 + -1u * 3) + -1
-2 + 2u = (9 + -3u) + -1

Reorder the terms:
-2 + 2u = 9 + -1 + -3u

Combine like terms: 9 + -1 = 8
-2 + 2u = 8 + -3u

Solving
-2 + 2u = 8 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-2 + 2u + 3u = 8 + -3u + 3u

Combine like terms: 2u + 3u = 5u
-2 + 5u = 8 + -3u + 3u

Combine like terms: -3u + 3u = 0
-2 + 5u = 8 + 0
-2 + 5u = 8

Add '2' to each side of the equation.
-2 + 2 + 5u = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 5u = 8 + 2
5u = 8 + 2

Combine like terms: 8 + 2 = 10
5u = 10

Divide each side by '5'.
u = 2

Simplifying
u = 2

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