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

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


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

Reorder the terms:
6(-4 + u) + -2 = -6(-3u + 4) + -6u
(-4 * 6 + u * 6) + -2 = -6(-3u + 4) + -6u
(-24 + 6u) + -2 = -6(-3u + 4) + -6u

Reorder the terms:
-24 + -2 + 6u = -6(-3u + 4) + -6u

Combine like terms: -24 + -2 = -26
-26 + 6u = -6(-3u + 4) + -6u

Reorder the terms:
-26 + 6u = -6(4 + -3u) + -6u
-26 + 6u = (4 * -6 + -3u * -6) + -6u
-26 + 6u = (-24 + 18u) + -6u

Combine like terms: 18u + -6u = 12u
-26 + 6u = -24 + 12u

Solving
-26 + 6u = -24 + 12u

Solving for variable 'u'.

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

Add '-12u' to each side of the equation.
-26 + 6u + -12u = -24 + 12u + -12u

Combine like terms: 6u + -12u = -6u
-26 + -6u = -24 + 12u + -12u

Combine like terms: 12u + -12u = 0
-26 + -6u = -24 + 0
-26 + -6u = -24

Add '26' to each side of the equation.
-26 + 26 + -6u = -24 + 26

Combine like terms: -26 + 26 = 0
0 + -6u = -24 + 26
-6u = -24 + 26

Combine like terms: -24 + 26 = 2
-6u = 2

Divide each side by '-6'.
u = -0.3333333333

Simplifying
u = -0.3333333333

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