-u-(5+13u)+10=-6(4u+11)

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Solution for -u-(5+13u)+10=-6(4u+11) equation:


Simplifying
-1u + -1(5 + 13u) + 10 = -6(4u + 11)
-1u + (5 * -1 + 13u * -1) + 10 = -6(4u + 11)
-1u + (-5 + -13u) + 10 = -6(4u + 11)

Reorder the terms:
-5 + 10 + -1u + -13u = -6(4u + 11)

Combine like terms: -5 + 10 = 5
5 + -1u + -13u = -6(4u + 11)

Combine like terms: -1u + -13u = -14u
5 + -14u = -6(4u + 11)

Reorder the terms:
5 + -14u = -6(11 + 4u)
5 + -14u = (11 * -6 + 4u * -6)
5 + -14u = (-66 + -24u)

Solving
5 + -14u = -66 + -24u

Solving for variable 'u'.

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

Add '24u' to each side of the equation.
5 + -14u + 24u = -66 + -24u + 24u

Combine like terms: -14u + 24u = 10u
5 + 10u = -66 + -24u + 24u

Combine like terms: -24u + 24u = 0
5 + 10u = -66 + 0
5 + 10u = -66

Add '-5' to each side of the equation.
5 + -5 + 10u = -66 + -5

Combine like terms: 5 + -5 = 0
0 + 10u = -66 + -5
10u = -66 + -5

Combine like terms: -66 + -5 = -71
10u = -71

Divide each side by '10'.
u = -7.1

Simplifying
u = -7.1

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