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

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


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

Reorder the terms:
-9 + 2u = -3(u + 8)

Reorder the terms:
-9 + 2u = -3(8 + u)
-9 + 2u = (8 * -3 + u * -3)
-9 + 2u = (-24 + -3u)

Solving
-9 + 2u = -24 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
-9 + 2u + 3u = -24 + -3u + 3u

Combine like terms: 2u + 3u = 5u
-9 + 5u = -24 + -3u + 3u

Combine like terms: -3u + 3u = 0
-9 + 5u = -24 + 0
-9 + 5u = -24

Add '9' to each side of the equation.
-9 + 9 + 5u = -24 + 9

Combine like terms: -9 + 9 = 0
0 + 5u = -24 + 9
5u = -24 + 9

Combine like terms: -24 + 9 = -15
5u = -15

Divide each side by '5'.
u = -3

Simplifying
u = -3

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