-4(-6u+8)-3u=5(u-4)-8

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Solution for -4(-6u+8)-3u=5(u-4)-8 equation: 


Simplifying
-4(-6u + 8) + -3u = 5(u + -4) + -8

Reorder the terms:
-4(8 + -6u) + -3u = 5(u + -4) + -8
(8 * -4 + -6u * -4) + -3u = 5(u + -4) + -8
(-32 + 24u) + -3u = 5(u + -4) + -8

Combine like terms: 24u + -3u = 21u
-32 + 21u = 5(u + -4) + -8

Reorder the terms:
-32 + 21u = 5(-4 + u) + -8
-32 + 21u = (-4 * 5 + u * 5) + -8
-32 + 21u = (-20 + 5u) + -8

Reorder the terms:
-32 + 21u = -20 + -8 + 5u

Combine like terms: -20 + -8 = -28
-32 + 21u = -28 + 5u

Solving
-32 + 21u = -28 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-32 + 21u + -5u = -28 + 5u + -5u

Combine like terms: 21u + -5u = 16u
-32 + 16u = -28 + 5u + -5u

Combine like terms: 5u + -5u = 0
-32 + 16u = -28 + 0
-32 + 16u = -28

Add '32' to each side of the equation.
-32 + 32 + 16u = -28 + 32

Combine like terms: -32 + 32 = 0
0 + 16u = -28 + 32
16u = -28 + 32

Combine like terms: -28 + 32 = 4
16u = 4

Divide each side by '16'.
u = 0.25

Simplifying
u = 0.25

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