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

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


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

Reorder the terms:
-2(2 + -9u) + -3u = 3(u + -5) + -5
(2 * -2 + -9u * -2) + -3u = 3(u + -5) + -5
(-4 + 18u) + -3u = 3(u + -5) + -5

Combine like terms: 18u + -3u = 15u
-4 + 15u = 3(u + -5) + -5

Reorder the terms:
-4 + 15u = 3(-5 + u) + -5
-4 + 15u = (-5 * 3 + u * 3) + -5
-4 + 15u = (-15 + 3u) + -5

Reorder the terms:
-4 + 15u = -15 + -5 + 3u

Combine like terms: -15 + -5 = -20
-4 + 15u = -20 + 3u

Solving
-4 + 15u = -20 + 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.
-4 + 15u + -3u = -20 + 3u + -3u

Combine like terms: 15u + -3u = 12u
-4 + 12u = -20 + 3u + -3u

Combine like terms: 3u + -3u = 0
-4 + 12u = -20 + 0
-4 + 12u = -20

Add '4' to each side of the equation.
-4 + 4 + 12u = -20 + 4

Combine like terms: -4 + 4 = 0
0 + 12u = -20 + 4
12u = -20 + 4

Combine like terms: -20 + 4 = -16
12u = -16

Divide each side by '12'.
u = -1.333333333

Simplifying
u = -1.333333333

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