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

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


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

Reorder the terms:
-4(-9 + 4u) + 5u = 5(u + 8)
(-9 * -4 + 4u * -4) + 5u = 5(u + 8)
(36 + -16u) + 5u = 5(u + 8)

Combine like terms: -16u + 5u = -11u
36 + -11u = 5(u + 8)

Reorder the terms:
36 + -11u = 5(8 + u)
36 + -11u = (8 * 5 + u * 5)
36 + -11u = (40 + 5u)

Solving
36 + -11u = 40 + 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.
36 + -11u + -5u = 40 + 5u + -5u

Combine like terms: -11u + -5u = -16u
36 + -16u = 40 + 5u + -5u

Combine like terms: 5u + -5u = 0
36 + -16u = 40 + 0
36 + -16u = 40

Add '-36' to each side of the equation.
36 + -36 + -16u = 40 + -36

Combine like terms: 36 + -36 = 0
0 + -16u = 40 + -36
-16u = 40 + -36

Combine like terms: 40 + -36 = 4
-16u = 4

Divide each side by '-16'.
u = -0.25

Simplifying
u = -0.25

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