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

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


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

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

Combine like terms: 2u + -3u = -1u
-2 + -1u = 3(u + -6)

Reorder the terms:
-2 + -1u = 3(-6 + u)
-2 + -1u = (-6 * 3 + u * 3)
-2 + -1u = (-18 + 3u)

Solving
-2 + -1u = -18 + 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.
-2 + -1u + -3u = -18 + 3u + -3u

Combine like terms: -1u + -3u = -4u
-2 + -4u = -18 + 3u + -3u

Combine like terms: 3u + -3u = 0
-2 + -4u = -18 + 0
-2 + -4u = -18

Add '2' to each side of the equation.
-2 + 2 + -4u = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -4u = -18 + 2
-4u = -18 + 2

Combine like terms: -18 + 2 = -16
-4u = -16

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

Simplifying
u = 4

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