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

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


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

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

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

Combine like terms: -12 + -6 = -18
-18 + 6u = -6(-3u + 4) + -2u

Reorder the terms:
-18 + 6u = -6(4 + -3u) + -2u
-18 + 6u = (4 * -6 + -3u * -6) + -2u
-18 + 6u = (-24 + 18u) + -2u

Combine like terms: 18u + -2u = 16u
-18 + 6u = -24 + 16u

Solving
-18 + 6u = -24 + 16u

Solving for variable 'u'.

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

Add '-16u' to each side of the equation.
-18 + 6u + -16u = -24 + 16u + -16u

Combine like terms: 6u + -16u = -10u
-18 + -10u = -24 + 16u + -16u

Combine like terms: 16u + -16u = 0
-18 + -10u = -24 + 0
-18 + -10u = -24

Add '18' to each side of the equation.
-18 + 18 + -10u = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -10u = -24 + 18
-10u = -24 + 18

Combine like terms: -24 + 18 = -6
-10u = -6

Divide each side by '-10'.
u = 0.6

Simplifying
u = 0.6

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