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

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


Simplifying
-3(-5u + 8) + -1u = 4(u + -8) + -8

Reorder the terms:
-3(8 + -5u) + -1u = 4(u + -8) + -8
(8 * -3 + -5u * -3) + -1u = 4(u + -8) + -8
(-24 + 15u) + -1u = 4(u + -8) + -8

Combine like terms: 15u + -1u = 14u
-24 + 14u = 4(u + -8) + -8

Reorder the terms:
-24 + 14u = 4(-8 + u) + -8
-24 + 14u = (-8 * 4 + u * 4) + -8
-24 + 14u = (-32 + 4u) + -8

Reorder the terms:
-24 + 14u = -32 + -8 + 4u

Combine like terms: -32 + -8 = -40
-24 + 14u = -40 + 4u

Solving
-24 + 14u = -40 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
-24 + 14u + -4u = -40 + 4u + -4u

Combine like terms: 14u + -4u = 10u
-24 + 10u = -40 + 4u + -4u

Combine like terms: 4u + -4u = 0
-24 + 10u = -40 + 0
-24 + 10u = -40

Add '24' to each side of the equation.
-24 + 24 + 10u = -40 + 24

Combine like terms: -24 + 24 = 0
0 + 10u = -40 + 24
10u = -40 + 24

Combine like terms: -40 + 24 = -16
10u = -16

Divide each side by '10'.
u = -1.6

Simplifying
u = -1.6

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