-3(-5u+6)-8u=3(u-6)-6

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Solution for -3(-5u+6)-8u=3(u-6)-6 equation:


Simplifying
-3(-5u + 6) + -8u = 3(u + -6) + -6

Reorder the terms:
-3(6 + -5u) + -8u = 3(u + -6) + -6
(6 * -3 + -5u * -3) + -8u = 3(u + -6) + -6
(-18 + 15u) + -8u = 3(u + -6) + -6

Combine like terms: 15u + -8u = 7u
-18 + 7u = 3(u + -6) + -6

Reorder the terms:
-18 + 7u = 3(-6 + u) + -6
-18 + 7u = (-6 * 3 + u * 3) + -6
-18 + 7u = (-18 + 3u) + -6

Reorder the terms:
-18 + 7u = -18 + -6 + 3u

Combine like terms: -18 + -6 = -24
-18 + 7u = -24 + 3u

Solving
-18 + 7u = -24 + 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.
-18 + 7u + -3u = -24 + 3u + -3u

Combine like terms: 7u + -3u = 4u
-18 + 4u = -24 + 3u + -3u

Combine like terms: 3u + -3u = 0
-18 + 4u = -24 + 0
-18 + 4u = -24

Add '18' to each side of the equation.
-18 + 18 + 4u = -24 + 18

Combine like terms: -18 + 18 = 0
0 + 4u = -24 + 18
4u = -24 + 18

Combine like terms: -24 + 18 = -6
4u = -6

Divide each side by '4'.
u = -1.5

Simplifying
u = -1.5

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