7u+2-2(-5u-4)=2(u-1)

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Solution for 7u+2-2(-5u-4)=2(u-1) equation:


Simplifying
7u + 2 + -2(-5u + -4) = 2(u + -1)

Reorder the terms:
7u + 2 + -2(-4 + -5u) = 2(u + -1)
7u + 2 + (-4 * -2 + -5u * -2) = 2(u + -1)
7u + 2 + (8 + 10u) = 2(u + -1)

Reorder the terms:
2 + 8 + 7u + 10u = 2(u + -1)

Combine like terms: 2 + 8 = 10
10 + 7u + 10u = 2(u + -1)

Combine like terms: 7u + 10u = 17u
10 + 17u = 2(u + -1)

Reorder the terms:
10 + 17u = 2(-1 + u)
10 + 17u = (-1 * 2 + u * 2)
10 + 17u = (-2 + 2u)

Solving
10 + 17u = -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.
10 + 17u + -2u = -2 + 2u + -2u

Combine like terms: 17u + -2u = 15u
10 + 15u = -2 + 2u + -2u

Combine like terms: 2u + -2u = 0
10 + 15u = -2 + 0
10 + 15u = -2

Add '-10' to each side of the equation.
10 + -10 + 15u = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 15u = -2 + -10
15u = -2 + -10

Combine like terms: -2 + -10 = -12
15u = -12

Divide each side by '15'.
u = -0.8

Simplifying
u = -0.8

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