3(u-3)=9u+5-2(-6u-1)

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Solution for 3(u-3)=9u+5-2(-6u-1) equation:


Simplifying
3(u + -3) = 9u + 5 + -2(-6u + -1)

Reorder the terms:
3(-3 + u) = 9u + 5 + -2(-6u + -1)
(-3 * 3 + u * 3) = 9u + 5 + -2(-6u + -1)
(-9 + 3u) = 9u + 5 + -2(-6u + -1)

Reorder the terms:
-9 + 3u = 9u + 5 + -2(-1 + -6u)
-9 + 3u = 9u + 5 + (-1 * -2 + -6u * -2)
-9 + 3u = 9u + 5 + (2 + 12u)

Reorder the terms:
-9 + 3u = 5 + 2 + 9u + 12u

Combine like terms: 5 + 2 = 7
-9 + 3u = 7 + 9u + 12u

Combine like terms: 9u + 12u = 21u
-9 + 3u = 7 + 21u

Solving
-9 + 3u = 7 + 21u

Solving for variable 'u'.

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

Add '-21u' to each side of the equation.
-9 + 3u + -21u = 7 + 21u + -21u

Combine like terms: 3u + -21u = -18u
-9 + -18u = 7 + 21u + -21u

Combine like terms: 21u + -21u = 0
-9 + -18u = 7 + 0
-9 + -18u = 7

Add '9' to each side of the equation.
-9 + 9 + -18u = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -18u = 7 + 9
-18u = 7 + 9

Combine like terms: 7 + 9 = 16
-18u = 16

Divide each side by '-18'.
u = -0.8888888889

Simplifying
u = -0.8888888889

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