-4(-5u+8)-3u=2(u-9)-8

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Solution for -4(-5u+8)-3u=2(u-9)-8 equation: 


Simplifying
-4(-5u + 8) + -3u = 2(u + -9) + -8

Reorder the terms:
-4(8 + -5u) + -3u = 2(u + -9) + -8
(8 * -4 + -5u * -4) + -3u = 2(u + -9) + -8
(-32 + 20u) + -3u = 2(u + -9) + -8

Combine like terms: 20u + -3u = 17u
-32 + 17u = 2(u + -9) + -8

Reorder the terms:
-32 + 17u = 2(-9 + u) + -8
-32 + 17u = (-9 * 2 + u * 2) + -8
-32 + 17u = (-18 + 2u) + -8

Reorder the terms:
-32 + 17u = -18 + -8 + 2u

Combine like terms: -18 + -8 = -26
-32 + 17u = -26 + 2u

Solving
-32 + 17u = -26 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
-32 + 17u + -2u = -26 + 2u + -2u

Combine like terms: 17u + -2u = 15u
-32 + 15u = -26 + 2u + -2u

Combine like terms: 2u + -2u = 0
-32 + 15u = -26 + 0
-32 + 15u = -26

Add '32' to each side of the equation.
-32 + 32 + 15u = -26 + 32

Combine like terms: -32 + 32 = 0
0 + 15u = -26 + 32
15u = -26 + 32

Combine like terms: -26 + 32 = 6
15u = 6

Divide each side by '15'.
u = 0.4

Simplifying
u = 0.4

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