-3(-7u+8)-6u=3(u-1)-5

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Solution for -3(-7u+8)-6u=3(u-1)-5 equation: 


Simplifying
-3(-7u + 8) + -6u = 3(u + -1) + -5

Reorder the terms:
-3(8 + -7u) + -6u = 3(u + -1) + -5
(8 * -3 + -7u * -3) + -6u = 3(u + -1) + -5
(-24 + 21u) + -6u = 3(u + -1) + -5

Combine like terms: 21u + -6u = 15u
-24 + 15u = 3(u + -1) + -5

Reorder the terms:
-24 + 15u = 3(-1 + u) + -5
-24 + 15u = (-1 * 3 + u * 3) + -5
-24 + 15u = (-3 + 3u) + -5

Reorder the terms:
-24 + 15u = -3 + -5 + 3u

Combine like terms: -3 + -5 = -8
-24 + 15u = -8 + 3u

Solving
-24 + 15u = -8 + 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.
-24 + 15u + -3u = -8 + 3u + -3u

Combine like terms: 15u + -3u = 12u
-24 + 12u = -8 + 3u + -3u

Combine like terms: 3u + -3u = 0
-24 + 12u = -8 + 0
-24 + 12u = -8

Add '24' to each side of the equation.
-24 + 24 + 12u = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 12u = -8 + 24
12u = -8 + 24

Combine like terms: -8 + 24 = 16
12u = 16

Divide each side by '12'.
u = 1.333333333

Simplifying
u = 1.333333333

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