-4(u+4)=4u-6+4(2u+1)

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Solution for -4(u+4)=4u-6+4(2u+1) equation:


Simplifying
-4(u + 4) = 4u + -6 + 4(2u + 1)

Reorder the terms:
-4(4 + u) = 4u + -6 + 4(2u + 1)
(4 * -4 + u * -4) = 4u + -6 + 4(2u + 1)
(-16 + -4u) = 4u + -6 + 4(2u + 1)

Reorder the terms:
-16 + -4u = 4u + -6 + 4(1 + 2u)
-16 + -4u = 4u + -6 + (1 * 4 + 2u * 4)
-16 + -4u = 4u + -6 + (4 + 8u)

Reorder the terms:
-16 + -4u = -6 + 4 + 4u + 8u

Combine like terms: -6 + 4 = -2
-16 + -4u = -2 + 4u + 8u

Combine like terms: 4u + 8u = 12u
-16 + -4u = -2 + 12u

Solving
-16 + -4u = -2 + 12u

Solving for variable 'u'.

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

Add '-12u' to each side of the equation.
-16 + -4u + -12u = -2 + 12u + -12u

Combine like terms: -4u + -12u = -16u
-16 + -16u = -2 + 12u + -12u

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

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

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

Combine like terms: -2 + 16 = 14
-16u = 14

Divide each side by '-16'.
u = -0.875

Simplifying
u = -0.875

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