3(u-3)=9u+5-4(-2u-1)

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Solution for 3(u-3)=9u+5-4(-2u-1) equation:


Simplifying
3(u + -3) = 9u + 5 + -4(-2u + -1)

Reorder the terms:
3(-3 + u) = 9u + 5 + -4(-2u + -1)
(-3 * 3 + u * 3) = 9u + 5 + -4(-2u + -1)
(-9 + 3u) = 9u + 5 + -4(-2u + -1)

Reorder the terms:
-9 + 3u = 9u + 5 + -4(-1 + -2u)
-9 + 3u = 9u + 5 + (-1 * -4 + -2u * -4)
-9 + 3u = 9u + 5 + (4 + 8u)

Reorder the terms:
-9 + 3u = 5 + 4 + 9u + 8u

Combine like terms: 5 + 4 = 9
-9 + 3u = 9 + 9u + 8u

Combine like terms: 9u + 8u = 17u
-9 + 3u = 9 + 17u

Solving
-9 + 3u = 9 + 17u

Solving for variable 'u'.

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

Add '-17u' to each side of the equation.
-9 + 3u + -17u = 9 + 17u + -17u

Combine like terms: 3u + -17u = -14u
-9 + -14u = 9 + 17u + -17u

Combine like terms: 17u + -17u = 0
-9 + -14u = 9 + 0
-9 + -14u = 9

Add '9' to each side of the equation.
-9 + 9 + -14u = 9 + 9

Combine like terms: -9 + 9 = 0
0 + -14u = 9 + 9
-14u = 9 + 9

Combine like terms: 9 + 9 = 18
-14u = 18

Divide each side by '-14'.
u = -1.285714286

Simplifying
u = -1.285714286

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