-4(3u-8)+2u=2(u+8)

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Solution for -4(3u-8)+2u=2(u+8) equation:


Simplifying
-4(3u + -8) + 2u = 2(u + 8)

Reorder the terms:
-4(-8 + 3u) + 2u = 2(u + 8)
(-8 * -4 + 3u * -4) + 2u = 2(u + 8)
(32 + -12u) + 2u = 2(u + 8)

Combine like terms: -12u + 2u = -10u
32 + -10u = 2(u + 8)

Reorder the terms:
32 + -10u = 2(8 + u)
32 + -10u = (8 * 2 + u * 2)
32 + -10u = (16 + 2u)

Solving
32 + -10u = 16 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
32 + -10u + -2u = 16 + 2u + -2u

Combine like terms: -10u + -2u = -12u
32 + -12u = 16 + 2u + -2u

Combine like terms: 2u + -2u = 0
32 + -12u = 16 + 0
32 + -12u = 16

Add '-32' to each side of the equation.
32 + -32 + -12u = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -12u = 16 + -32
-12u = 16 + -32

Combine like terms: 16 + -32 = -16
-12u = -16

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

Simplifying
u = 1.333333333

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