u-6+8u=9u+3-2u

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Solution for u-6+8u=9u+3-2u equation:


Simplifying
u + -6 + 8u = 9u + 3 + -2u

Reorder the terms:
-6 + u + 8u = 9u + 3 + -2u

Combine like terms: u + 8u = 9u
-6 + 9u = 9u + 3 + -2u

Reorder the terms:
-6 + 9u = 3 + 9u + -2u

Combine like terms: 9u + -2u = 7u
-6 + 9u = 3 + 7u

Solving
-6 + 9u = 3 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
-6 + 9u + -7u = 3 + 7u + -7u

Combine like terms: 9u + -7u = 2u
-6 + 2u = 3 + 7u + -7u

Combine like terms: 7u + -7u = 0
-6 + 2u = 3 + 0
-6 + 2u = 3

Add '6' to each side of the equation.
-6 + 6 + 2u = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 2u = 3 + 6
2u = 3 + 6

Combine like terms: 3 + 6 = 9
2u = 9

Divide each side by '2'.
u = 4.5

Simplifying
u = 4.5

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