-3(-7u+4)-2u=3(u-4)-6

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Solution for -3(-7u+4)-2u=3(u-4)-6 equation: 


Simplifying
-3(-7u + 4) + -2u = 3(u + -4) + -6

Reorder the terms:
-3(4 + -7u) + -2u = 3(u + -4) + -6
(4 * -3 + -7u * -3) + -2u = 3(u + -4) + -6
(-12 + 21u) + -2u = 3(u + -4) + -6

Combine like terms: 21u + -2u = 19u
-12 + 19u = 3(u + -4) + -6

Reorder the terms:
-12 + 19u = 3(-4 + u) + -6
-12 + 19u = (-4 * 3 + u * 3) + -6
-12 + 19u = (-12 + 3u) + -6

Reorder the terms:
-12 + 19u = -12 + -6 + 3u

Combine like terms: -12 + -6 = -18
-12 + 19u = -18 + 3u

Solving
-12 + 19u = -18 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
-12 + 19u + -3u = -18 + 3u + -3u

Combine like terms: 19u + -3u = 16u
-12 + 16u = -18 + 3u + -3u

Combine like terms: 3u + -3u = 0
-12 + 16u = -18 + 0
-12 + 16u = -18

Add '12' to each side of the equation.
-12 + 12 + 16u = -18 + 12

Combine like terms: -12 + 12 = 0
0 + 16u = -18 + 12
16u = -18 + 12

Combine like terms: -18 + 12 = -6
16u = -6

Divide each side by '16'.
u = -0.375

Simplifying
u = -0.375

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