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

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


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

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

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

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

Combine like terms: 9u + 9u = 18u
9 + 18u = 3(u + -3)

Reorder the terms:
9 + 18u = 3(-3 + u)
9 + 18u = (-3 * 3 + u * 3)
9 + 18u = (-9 + 3u)

Solving
9 + 18u = -9 + 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 + 18u + -3u = -9 + 3u + -3u

Combine like terms: 18u + -3u = 15u
9 + 15u = -9 + 3u + -3u

Combine like terms: 3u + -3u = 0
9 + 15u = -9 + 0
9 + 15u = -9

Add '-9' to each side of the equation.
9 + -9 + 15u = -9 + -9

Combine like terms: 9 + -9 = 0
0 + 15u = -9 + -9
15u = -9 + -9

Combine like terms: -9 + -9 = -18
15u = -18

Divide each side by '15'.
u = -1.2

Simplifying
u = -1.2

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