5(u-1)=5u+5-2(-9u-2)

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Solution for 5(u-1)=5u+5-2(-9u-2) equation:


Simplifying
5(u + -1) = 5u + 5 + -2(-9u + -2)

Reorder the terms:
5(-1 + u) = 5u + 5 + -2(-9u + -2)
(-1 * 5 + u * 5) = 5u + 5 + -2(-9u + -2)
(-5 + 5u) = 5u + 5 + -2(-9u + -2)

Reorder the terms:
-5 + 5u = 5u + 5 + -2(-2 + -9u)
-5 + 5u = 5u + 5 + (-2 * -2 + -9u * -2)
-5 + 5u = 5u + 5 + (4 + 18u)

Reorder the terms:
-5 + 5u = 5 + 4 + 5u + 18u

Combine like terms: 5 + 4 = 9
-5 + 5u = 9 + 5u + 18u

Combine like terms: 5u + 18u = 23u
-5 + 5u = 9 + 23u

Solving
-5 + 5u = 9 + 23u

Solving for variable 'u'.

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

Add '-23u' to each side of the equation.
-5 + 5u + -23u = 9 + 23u + -23u

Combine like terms: 5u + -23u = -18u
-5 + -18u = 9 + 23u + -23u

Combine like terms: 23u + -23u = 0
-5 + -18u = 9 + 0
-5 + -18u = 9

Add '5' to each side of the equation.
-5 + 5 + -18u = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -18u = 9 + 5
-18u = 9 + 5

Combine like terms: 9 + 5 = 14
-18u = 14

Divide each side by '-18'.
u = -0.7777777778

Simplifying
u = -0.7777777778

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