-2(17u-10)+10(3u+3)=u-(11u-26)

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Solution for -2(17u-10)+10(3u+3)=u-(11u-26) equation:


Simplifying
-2(17u + -10) + 10(3u + 3) = u + -1(11u + -26)

Reorder the terms:
-2(-10 + 17u) + 10(3u + 3) = u + -1(11u + -26)
(-10 * -2 + 17u * -2) + 10(3u + 3) = u + -1(11u + -26)
(20 + -34u) + 10(3u + 3) = u + -1(11u + -26)

Reorder the terms:
20 + -34u + 10(3 + 3u) = u + -1(11u + -26)
20 + -34u + (3 * 10 + 3u * 10) = u + -1(11u + -26)
20 + -34u + (30 + 30u) = u + -1(11u + -26)

Reorder the terms:
20 + 30 + -34u + 30u = u + -1(11u + -26)

Combine like terms: 20 + 30 = 50
50 + -34u + 30u = u + -1(11u + -26)

Combine like terms: -34u + 30u = -4u
50 + -4u = u + -1(11u + -26)

Reorder the terms:
50 + -4u = u + -1(-26 + 11u)
50 + -4u = u + (-26 * -1 + 11u * -1)
50 + -4u = u + (26 + -11u)

Reorder the terms:
50 + -4u = 26 + u + -11u

Combine like terms: u + -11u = -10u
50 + -4u = 26 + -10u

Solving
50 + -4u = 26 + -10u

Solving for variable 'u'.

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

Add '10u' to each side of the equation.
50 + -4u + 10u = 26 + -10u + 10u

Combine like terms: -4u + 10u = 6u
50 + 6u = 26 + -10u + 10u

Combine like terms: -10u + 10u = 0
50 + 6u = 26 + 0
50 + 6u = 26

Add '-50' to each side of the equation.
50 + -50 + 6u = 26 + -50

Combine like terms: 50 + -50 = 0
0 + 6u = 26 + -50
6u = 26 + -50

Combine like terms: 26 + -50 = -24
6u = -24

Divide each side by '6'.
u = -4

Simplifying
u = -4

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