(u-4)=2(u-6)-10u

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Solution for (u-4)=2(u-6)-10u equation:


Simplifying
(u + -4) = 2(u + -6) + -10u

Reorder the terms:
(-4 + u) = 2(u + -6) + -10u

Remove parenthesis around (-4 + u)
-4 + u = 2(u + -6) + -10u

Reorder the terms:
-4 + u = 2(-6 + u) + -10u
-4 + u = (-6 * 2 + u * 2) + -10u
-4 + u = (-12 + 2u) + -10u

Combine like terms: 2u + -10u = -8u
-4 + u = -12 + -8u

Solving
-4 + u = -12 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
-4 + u + 8u = -12 + -8u + 8u

Combine like terms: u + 8u = 9u
-4 + 9u = -12 + -8u + 8u

Combine like terms: -8u + 8u = 0
-4 + 9u = -12 + 0
-4 + 9u = -12

Add '4' to each side of the equation.
-4 + 4 + 9u = -12 + 4

Combine like terms: -4 + 4 = 0
0 + 9u = -12 + 4
9u = -12 + 4

Combine like terms: -12 + 4 = -8
9u = -8

Divide each side by '9'.
u = -0.8888888889

Simplifying
u = -0.8888888889

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