4(u-2)=4u+6-2(-5u-2)

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Solution for 4(u-2)=4u+6-2(-5u-2) equation:


Simplifying
4(u + -2) = 4u + 6 + -2(-5u + -2)

Reorder the terms:
4(-2 + u) = 4u + 6 + -2(-5u + -2)
(-2 * 4 + u * 4) = 4u + 6 + -2(-5u + -2)
(-8 + 4u) = 4u + 6 + -2(-5u + -2)

Reorder the terms:
-8 + 4u = 4u + 6 + -2(-2 + -5u)
-8 + 4u = 4u + 6 + (-2 * -2 + -5u * -2)
-8 + 4u = 4u + 6 + (4 + 10u)

Reorder the terms:
-8 + 4u = 6 + 4 + 4u + 10u

Combine like terms: 6 + 4 = 10
-8 + 4u = 10 + 4u + 10u

Combine like terms: 4u + 10u = 14u
-8 + 4u = 10 + 14u

Solving
-8 + 4u = 10 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-8 + 4u + -14u = 10 + 14u + -14u

Combine like terms: 4u + -14u = -10u
-8 + -10u = 10 + 14u + -14u

Combine like terms: 14u + -14u = 0
-8 + -10u = 10 + 0
-8 + -10u = 10

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

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

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

Divide each side by '-10'.
u = -1.8

Simplifying
u = -1.8

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