4u-4+2(2u+9)=-2(u+1)

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Solution for 4u-4+2(2u+9)=-2(u+1) equation:


Simplifying
4u + -4 + 2(2u + 9) = -2(u + 1)

Reorder the terms:
4u + -4 + 2(9 + 2u) = -2(u + 1)
4u + -4 + (9 * 2 + 2u * 2) = -2(u + 1)
4u + -4 + (18 + 4u) = -2(u + 1)

Reorder the terms:
-4 + 18 + 4u + 4u = -2(u + 1)

Combine like terms: -4 + 18 = 14
14 + 4u + 4u = -2(u + 1)

Combine like terms: 4u + 4u = 8u
14 + 8u = -2(u + 1)

Reorder the terms:
14 + 8u = -2(1 + u)
14 + 8u = (1 * -2 + u * -2)
14 + 8u = (-2 + -2u)

Solving
14 + 8u = -2 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
14 + 8u + 2u = -2 + -2u + 2u

Combine like terms: 8u + 2u = 10u
14 + 10u = -2 + -2u + 2u

Combine like terms: -2u + 2u = 0
14 + 10u = -2 + 0
14 + 10u = -2

Add '-14' to each side of the equation.
14 + -14 + 10u = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 10u = -2 + -14
10u = -2 + -14

Combine like terms: -2 + -14 = -16
10u = -16

Divide each side by '10'.
u = -1.6

Simplifying
u = -1.6

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