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

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


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

Reorder the terms:
4(4 + u) = -2(8u + -3) + 8u
(4 * 4 + u * 4) = -2(8u + -3) + 8u
(16 + 4u) = -2(8u + -3) + 8u

Reorder the terms:
16 + 4u = -2(-3 + 8u) + 8u
16 + 4u = (-3 * -2 + 8u * -2) + 8u
16 + 4u = (6 + -16u) + 8u

Combine like terms: -16u + 8u = -8u
16 + 4u = 6 + -8u

Solving
16 + 4u = 6 + -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.
16 + 4u + 8u = 6 + -8u + 8u

Combine like terms: 4u + 8u = 12u
16 + 12u = 6 + -8u + 8u

Combine like terms: -8u + 8u = 0
16 + 12u = 6 + 0
16 + 12u = 6

Add '-16' to each side of the equation.
16 + -16 + 12u = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 12u = 6 + -16
12u = 6 + -16

Combine like terms: 6 + -16 = -10
12u = -10

Divide each side by '12'.
u = -0.8333333333

Simplifying
u = -0.8333333333

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