4(u-4)-2=-4(-3u+1)-4u

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Solution for 4(u-4)-2=-4(-3u+1)-4u equation: 


Simplifying
4(u + -4) + -2 = -4(-3u + 1) + -4u

Reorder the terms:
4(-4 + u) + -2 = -4(-3u + 1) + -4u
(-4 * 4 + u * 4) + -2 = -4(-3u + 1) + -4u
(-16 + 4u) + -2 = -4(-3u + 1) + -4u

Reorder the terms:
-16 + -2 + 4u = -4(-3u + 1) + -4u

Combine like terms: -16 + -2 = -18
-18 + 4u = -4(-3u + 1) + -4u

Reorder the terms:
-18 + 4u = -4(1 + -3u) + -4u
-18 + 4u = (1 * -4 + -3u * -4) + -4u
-18 + 4u = (-4 + 12u) + -4u

Combine like terms: 12u + -4u = 8u
-18 + 4u = -4 + 8u

Solving
-18 + 4u = -4 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
-18 + 4u + -8u = -4 + 8u + -8u

Combine like terms: 4u + -8u = -4u
-18 + -4u = -4 + 8u + -8u

Combine like terms: 8u + -8u = 0
-18 + -4u = -4 + 0
-18 + -4u = -4

Add '18' to each side of the equation.
-18 + 18 + -4u = -4 + 18

Combine like terms: -18 + 18 = 0
0 + -4u = -4 + 18
-4u = -4 + 18

Combine like terms: -4 + 18 = 14
-4u = 14

Divide each side by '-4'.
u = -3.5

Simplifying
u = -3.5

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