-4(3u-3)+4u=6+2(2u-4)

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Solution for -4(3u-3)+4u=6+2(2u-4) equation: 


Simplifying
-4(3u + -3) + 4u = 6 + 2(2u + -4)

Reorder the terms:
-4(-3 + 3u) + 4u = 6 + 2(2u + -4)
(-3 * -4 + 3u * -4) + 4u = 6 + 2(2u + -4)
(12 + -12u) + 4u = 6 + 2(2u + -4)

Combine like terms: -12u + 4u = -8u
12 + -8u = 6 + 2(2u + -4)

Reorder the terms:
12 + -8u = 6 + 2(-4 + 2u)
12 + -8u = 6 + (-4 * 2 + 2u * 2)
12 + -8u = 6 + (-8 + 4u)

Combine like terms: 6 + -8 = -2
12 + -8u = -2 + 4u

Solving
12 + -8u = -2 + 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.
12 + -8u + -4u = -2 + 4u + -4u

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

Combine like terms: 4u + -4u = 0
12 + -12u = -2 + 0
12 + -12u = -2

Add '-12' to each side of the equation.
12 + -12 + -12u = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -12u = -2 + -12
-12u = -2 + -12

Combine like terms: -2 + -12 = -14
-12u = -14

Divide each side by '-12'.
u = 1.166666667

Simplifying
u = 1.166666667

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