5u+7-2(-7u-2)=3(u-1)

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Solution for 5u+7-2(-7u-2)=3(u-1) equation:


Simplifying
5u + 7 + -2(-7u + -2) = 3(u + -1)

Reorder the terms:
5u + 7 + -2(-2 + -7u) = 3(u + -1)
5u + 7 + (-2 * -2 + -7u * -2) = 3(u + -1)
5u + 7 + (4 + 14u) = 3(u + -1)

Reorder the terms:
7 + 4 + 5u + 14u = 3(u + -1)

Combine like terms: 7 + 4 = 11
11 + 5u + 14u = 3(u + -1)

Combine like terms: 5u + 14u = 19u
11 + 19u = 3(u + -1)

Reorder the terms:
11 + 19u = 3(-1 + u)
11 + 19u = (-1 * 3 + u * 3)
11 + 19u = (-3 + 3u)

Solving
11 + 19u = -3 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
11 + 19u + -3u = -3 + 3u + -3u

Combine like terms: 19u + -3u = 16u
11 + 16u = -3 + 3u + -3u

Combine like terms: 3u + -3u = 0
11 + 16u = -3 + 0
11 + 16u = -3

Add '-11' to each side of the equation.
11 + -11 + 16u = -3 + -11

Combine like terms: 11 + -11 = 0
0 + 16u = -3 + -11
16u = -3 + -11

Combine like terms: -3 + -11 = -14
16u = -14

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

Simplifying
u = -0.875

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