4(u-2)=8u+8-2(-6u-1)

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Solution for 4(u-2)=8u+8-2(-6u-1) equation:


Simplifying
4(u + -2) = 8u + 8 + -2(-6u + -1)

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

Reorder the terms:
-8 + 4u = 8u + 8 + -2(-1 + -6u)
-8 + 4u = 8u + 8 + (-1 * -2 + -6u * -2)
-8 + 4u = 8u + 8 + (2 + 12u)

Reorder the terms:
-8 + 4u = 8 + 2 + 8u + 12u

Combine like terms: 8 + 2 = 10
-8 + 4u = 10 + 8u + 12u

Combine like terms: 8u + 12u = 20u
-8 + 4u = 10 + 20u

Solving
-8 + 4u = 10 + 20u

Solving for variable 'u'.

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

Add '-20u' to each side of the equation.
-8 + 4u + -20u = 10 + 20u + -20u

Combine like terms: 4u + -20u = -16u
-8 + -16u = 10 + 20u + -20u

Combine like terms: 20u + -20u = 0
-8 + -16u = 10 + 0
-8 + -16u = 10

Add '8' to each side of the equation.
-8 + 8 + -16u = 10 + 8

Combine like terms: -8 + 8 = 0
0 + -16u = 10 + 8
-16u = 10 + 8

Combine like terms: 10 + 8 = 18
-16u = 18

Divide each side by '-16'.
u = -1.125

Simplifying
u = -1.125

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