2(u-4)-4=-3(-3u+2)-3u

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Solution for 2(u-4)-4=-3(-3u+2)-3u equation:


Simplifying
2(u + -4) + -4 = -3(-3u + 2) + -3u

Reorder the terms:
2(-4 + u) + -4 = -3(-3u + 2) + -3u
(-4 * 2 + u * 2) + -4 = -3(-3u + 2) + -3u
(-8 + 2u) + -4 = -3(-3u + 2) + -3u

Reorder the terms:
-8 + -4 + 2u = -3(-3u + 2) + -3u

Combine like terms: -8 + -4 = -12
-12 + 2u = -3(-3u + 2) + -3u

Reorder the terms:
-12 + 2u = -3(2 + -3u) + -3u
-12 + 2u = (2 * -3 + -3u * -3) + -3u
-12 + 2u = (-6 + 9u) + -3u

Combine like terms: 9u + -3u = 6u
-12 + 2u = -6 + 6u

Solving
-12 + 2u = -6 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
-12 + 2u + -6u = -6 + 6u + -6u

Combine like terms: 2u + -6u = -4u
-12 + -4u = -6 + 6u + -6u

Combine like terms: 6u + -6u = 0
-12 + -4u = -6 + 0
-12 + -4u = -6

Add '12' to each side of the equation.
-12 + 12 + -4u = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -4u = -6 + 12
-4u = -6 + 12

Combine like terms: -6 + 12 = 6
-4u = 6

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

Simplifying
u = -1.5

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