3(u-1)-1=-3(-4u+6)-u

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Solution for 3(u-1)-1=-3(-4u+6)-u equation:


Simplifying
3(u + -1) + -1 = -3(-4u + 6) + -1u

Reorder the terms:
3(-1 + u) + -1 = -3(-4u + 6) + -1u
(-1 * 3 + u * 3) + -1 = -3(-4u + 6) + -1u
(-3 + 3u) + -1 = -3(-4u + 6) + -1u

Reorder the terms:
-3 + -1 + 3u = -3(-4u + 6) + -1u

Combine like terms: -3 + -1 = -4
-4 + 3u = -3(-4u + 6) + -1u

Reorder the terms:
-4 + 3u = -3(6 + -4u) + -1u
-4 + 3u = (6 * -3 + -4u * -3) + -1u
-4 + 3u = (-18 + 12u) + -1u

Combine like terms: 12u + -1u = 11u
-4 + 3u = -18 + 11u

Solving
-4 + 3u = -18 + 11u

Solving for variable 'u'.

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

Add '-11u' to each side of the equation.
-4 + 3u + -11u = -18 + 11u + -11u

Combine like terms: 3u + -11u = -8u
-4 + -8u = -18 + 11u + -11u

Combine like terms: 11u + -11u = 0
-4 + -8u = -18 + 0
-4 + -8u = -18

Add '4' to each side of the equation.
-4 + 4 + -8u = -18 + 4

Combine like terms: -4 + 4 = 0
0 + -8u = -18 + 4
-8u = -18 + 4

Combine like terms: -18 + 4 = -14
-8u = -14

Divide each side by '-8'.
u = 1.75

Simplifying
u = 1.75

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