6u+2-2(-7u-1)=2(u-3)

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Solution for 6u+2-2(-7u-1)=2(u-3) equation:


Simplifying
6u + 2 + -2(-7u + -1) = 2(u + -3)

Reorder the terms:
6u + 2 + -2(-1 + -7u) = 2(u + -3)
6u + 2 + (-1 * -2 + -7u * -2) = 2(u + -3)
6u + 2 + (2 + 14u) = 2(u + -3)

Reorder the terms:
2 + 2 + 6u + 14u = 2(u + -3)

Combine like terms: 2 + 2 = 4
4 + 6u + 14u = 2(u + -3)

Combine like terms: 6u + 14u = 20u
4 + 20u = 2(u + -3)

Reorder the terms:
4 + 20u = 2(-3 + u)
4 + 20u = (-3 * 2 + u * 2)
4 + 20u = (-6 + 2u)

Solving
4 + 20u = -6 + 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.
4 + 20u + -2u = -6 + 2u + -2u

Combine like terms: 20u + -2u = 18u
4 + 18u = -6 + 2u + -2u

Combine like terms: 2u + -2u = 0
4 + 18u = -6 + 0
4 + 18u = -6

Add '-4' to each side of the equation.
4 + -4 + 18u = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 18u = -6 + -4
18u = -6 + -4

Combine like terms: -6 + -4 = -10
18u = -10

Divide each side by '18'.
u = -0.5555555556

Simplifying
u = -0.5555555556

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