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

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


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

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

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

Reorder the terms:
-9 + 3u = 6 + 3 + u + 6u

Combine like terms: 6 + 3 = 9
-9 + 3u = 9 + u + 6u

Combine like terms: u + 6u = 7u
-9 + 3u = 9 + 7u

Solving
-9 + 3u = 9 + 7u

Solving for variable 'u'.

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

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

Combine like terms: 3u + -7u = -4u
-9 + -4u = 9 + 7u + -7u

Combine like terms: 7u + -7u = 0
-9 + -4u = 9 + 0
-9 + -4u = 9

Add '9' to each side of the equation.
-9 + 9 + -4u = 9 + 9

Combine like terms: -9 + 9 = 0
0 + -4u = 9 + 9
-4u = 9 + 9

Combine like terms: 9 + 9 = 18
-4u = 18

Divide each side by '-4'.
u = -4.5

Simplifying
u = -4.5

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