2u+5-2(-4u-3)=4(u-1)

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Solution for 2u+5-2(-4u-3)=4(u-1) equation: 


Simplifying
2u + 5 + -2(-4u + -3) = 4(u + -1)

Reorder the terms:
2u + 5 + -2(-3 + -4u) = 4(u + -1)
2u + 5 + (-3 * -2 + -4u * -2) = 4(u + -1)
2u + 5 + (6 + 8u) = 4(u + -1)

Reorder the terms:
5 + 6 + 2u + 8u = 4(u + -1)

Combine like terms: 5 + 6 = 11
11 + 2u + 8u = 4(u + -1)

Combine like terms: 2u + 8u = 10u
11 + 10u = 4(u + -1)

Reorder the terms:
11 + 10u = 4(-1 + u)
11 + 10u = (-1 * 4 + u * 4)
11 + 10u = (-4 + 4u)

Solving
11 + 10u = -4 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
11 + 10u + -4u = -4 + 4u + -4u

Combine like terms: 10u + -4u = 6u
11 + 6u = -4 + 4u + -4u

Combine like terms: 4u + -4u = 0
11 + 6u = -4 + 0
11 + 6u = -4

Add '-11' to each side of the equation.
11 + -11 + 6u = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 6u = -4 + -11
6u = -4 + -11

Combine like terms: -4 + -11 = -15
6u = -15

Divide each side by '6'.
u = -2.5

Simplifying
u = -2.5

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