3(u-6)-9=-7(-3u+5)-2u

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Solution for 3(u-6)-9=-7(-3u+5)-2u equation:


Simplifying
3(u + -6) + -9 = -7(-3u + 5) + -2u

Reorder the terms:
3(-6 + u) + -9 = -7(-3u + 5) + -2u
(-6 * 3 + u * 3) + -9 = -7(-3u + 5) + -2u
(-18 + 3u) + -9 = -7(-3u + 5) + -2u

Reorder the terms:
-18 + -9 + 3u = -7(-3u + 5) + -2u

Combine like terms: -18 + -9 = -27
-27 + 3u = -7(-3u + 5) + -2u

Reorder the terms:
-27 + 3u = -7(5 + -3u) + -2u
-27 + 3u = (5 * -7 + -3u * -7) + -2u
-27 + 3u = (-35 + 21u) + -2u

Combine like terms: 21u + -2u = 19u
-27 + 3u = -35 + 19u

Solving
-27 + 3u = -35 + 19u

Solving for variable 'u'.

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

Add '-19u' to each side of the equation.
-27 + 3u + -19u = -35 + 19u + -19u

Combine like terms: 3u + -19u = -16u
-27 + -16u = -35 + 19u + -19u

Combine like terms: 19u + -19u = 0
-27 + -16u = -35 + 0
-27 + -16u = -35

Add '27' to each side of the equation.
-27 + 27 + -16u = -35 + 27

Combine like terms: -27 + 27 = 0
0 + -16u = -35 + 27
-16u = -35 + 27

Combine like terms: -35 + 27 = -8
-16u = -8

Divide each side by '-16'.
u = 0.5

Simplifying
u = 0.5

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