3(u-6)-6=-2(-5u+7)-u

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Solution for 3(u-6)-6=-2(-5u+7)-u equation:


Simplifying
3(u + -6) + -6 = -2(-5u + 7) + -1u

Reorder the terms:
3(-6 + u) + -6 = -2(-5u + 7) + -1u
(-6 * 3 + u * 3) + -6 = -2(-5u + 7) + -1u
(-18 + 3u) + -6 = -2(-5u + 7) + -1u

Reorder the terms:
-18 + -6 + 3u = -2(-5u + 7) + -1u

Combine like terms: -18 + -6 = -24
-24 + 3u = -2(-5u + 7) + -1u

Reorder the terms:
-24 + 3u = -2(7 + -5u) + -1u
-24 + 3u = (7 * -2 + -5u * -2) + -1u
-24 + 3u = (-14 + 10u) + -1u

Combine like terms: 10u + -1u = 9u
-24 + 3u = -14 + 9u

Solving
-24 + 3u = -14 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
-24 + 3u + -9u = -14 + 9u + -9u

Combine like terms: 3u + -9u = -6u
-24 + -6u = -14 + 9u + -9u

Combine like terms: 9u + -9u = 0
-24 + -6u = -14 + 0
-24 + -6u = -14

Add '24' to each side of the equation.
-24 + 24 + -6u = -14 + 24

Combine like terms: -24 + 24 = 0
0 + -6u = -14 + 24
-6u = -14 + 24

Combine like terms: -14 + 24 = 10
-6u = 10

Divide each side by '-6'.
u = -1.666666667

Simplifying
u = -1.666666667

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