5(u+1)=2u-16

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Solution for 5(u+1)=2u-16 equation:


Simplifying
5(u + 1) = 2u + -16

Reorder the terms:
5(1 + u) = 2u + -16
(1 * 5 + u * 5) = 2u + -16
(5 + 5u) = 2u + -16

Reorder the terms:
5 + 5u = -16 + 2u

Solving
5 + 5u = -16 + 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.
5 + 5u + -2u = -16 + 2u + -2u

Combine like terms: 5u + -2u = 3u
5 + 3u = -16 + 2u + -2u

Combine like terms: 2u + -2u = 0
5 + 3u = -16 + 0
5 + 3u = -16

Add '-5' to each side of the equation.
5 + -5 + 3u = -16 + -5

Combine like terms: 5 + -5 = 0
0 + 3u = -16 + -5
3u = -16 + -5

Combine like terms: -16 + -5 = -21
3u = -21

Divide each side by '3'.
u = -7

Simplifying
u = -7

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