8(4u-2)-2(4+6u)=-4(-2u-12)

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Solution for 8(4u-2)-2(4+6u)=-4(-2u-12) equation:


Simplifying
8(4u + -2) + -2(4 + 6u) = -4(-2u + -12)

Reorder the terms:
8(-2 + 4u) + -2(4 + 6u) = -4(-2u + -12)
(-2 * 8 + 4u * 8) + -2(4 + 6u) = -4(-2u + -12)
(-16 + 32u) + -2(4 + 6u) = -4(-2u + -12)
-16 + 32u + (4 * -2 + 6u * -2) = -4(-2u + -12)
-16 + 32u + (-8 + -12u) = -4(-2u + -12)

Reorder the terms:
-16 + -8 + 32u + -12u = -4(-2u + -12)

Combine like terms: -16 + -8 = -24
-24 + 32u + -12u = -4(-2u + -12)

Combine like terms: 32u + -12u = 20u
-24 + 20u = -4(-2u + -12)

Reorder the terms:
-24 + 20u = -4(-12 + -2u)
-24 + 20u = (-12 * -4 + -2u * -4)
-24 + 20u = (48 + 8u)

Solving
-24 + 20u = 48 + 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.
-24 + 20u + -8u = 48 + 8u + -8u

Combine like terms: 20u + -8u = 12u
-24 + 12u = 48 + 8u + -8u

Combine like terms: 8u + -8u = 0
-24 + 12u = 48 + 0
-24 + 12u = 48

Add '24' to each side of the equation.
-24 + 24 + 12u = 48 + 24

Combine like terms: -24 + 24 = 0
0 + 12u = 48 + 24
12u = 48 + 24

Combine like terms: 48 + 24 = 72
12u = 72

Divide each side by '12'.
u = 6

Simplifying
u = 6

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