2(u+8)=9u-40

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Solution for 2(u+8)=9u-40 equation: 


Simplifying
2(u + 8) = 9u + -40

Reorder the terms:
2(8 + u) = 9u + -40
(8 * 2 + u * 2) = 9u + -40
(16 + 2u) = 9u + -40

Reorder the terms:
16 + 2u = -40 + 9u

Solving
16 + 2u = -40 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
16 + 2u + -9u = -40 + 9u + -9u

Combine like terms: 2u + -9u = -7u
16 + -7u = -40 + 9u + -9u

Combine like terms: 9u + -9u = 0
16 + -7u = -40 + 0
16 + -7u = -40

Add '-16' to each side of the equation.
16 + -16 + -7u = -40 + -16

Combine like terms: 16 + -16 = 0
0 + -7u = -40 + -16
-7u = -40 + -16

Combine like terms: -40 + -16 = -56
-7u = -56

Divide each side by '-7'.
u = 8

Simplifying
u = 8

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