-6(-4u+4)-5u=3(u-4)-2

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Solution for -6(-4u+4)-5u=3(u-4)-2 equation:


Simplifying
-6(-4u + 4) + -5u = 3(u + -4) + -2

Reorder the terms:
-6(4 + -4u) + -5u = 3(u + -4) + -2
(4 * -6 + -4u * -6) + -5u = 3(u + -4) + -2
(-24 + 24u) + -5u = 3(u + -4) + -2

Combine like terms: 24u + -5u = 19u
-24 + 19u = 3(u + -4) + -2

Reorder the terms:
-24 + 19u = 3(-4 + u) + -2
-24 + 19u = (-4 * 3 + u * 3) + -2
-24 + 19u = (-12 + 3u) + -2

Reorder the terms:
-24 + 19u = -12 + -2 + 3u

Combine like terms: -12 + -2 = -14
-24 + 19u = -14 + 3u

Solving
-24 + 19u = -14 + 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.
-24 + 19u + -3u = -14 + 3u + -3u

Combine like terms: 19u + -3u = 16u
-24 + 16u = -14 + 3u + -3u

Combine like terms: 3u + -3u = 0
-24 + 16u = -14 + 0
-24 + 16u = -14

Add '24' to each side of the equation.
-24 + 24 + 16u = -14 + 24

Combine like terms: -24 + 24 = 0
0 + 16u = -14 + 24
16u = -14 + 24

Combine like terms: -14 + 24 = 10
16u = 10

Divide each side by '16'.
u = 0.625

Simplifying
u = 0.625

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