-6(u+7)=5u+24

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Solution for -6(u+7)=5u+24 equation:


Simplifying
-6(u + 7) = 5u + 24

Reorder the terms:
-6(7 + u) = 5u + 24
(7 * -6 + u * -6) = 5u + 24
(-42 + -6u) = 5u + 24

Reorder the terms:
-42 + -6u = 24 + 5u

Solving
-42 + -6u = 24 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
-42 + -6u + -5u = 24 + 5u + -5u

Combine like terms: -6u + -5u = -11u
-42 + -11u = 24 + 5u + -5u

Combine like terms: 5u + -5u = 0
-42 + -11u = 24 + 0
-42 + -11u = 24

Add '42' to each side of the equation.
-42 + 42 + -11u = 24 + 42

Combine like terms: -42 + 42 = 0
0 + -11u = 24 + 42
-11u = 24 + 42

Combine like terms: 24 + 42 = 66
-11u = 66

Divide each side by '-11'.
u = -6

Simplifying
u = -6

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