-9(u-6)=2u+21

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Solution for -9(u-6)=2u+21 equation:


Simplifying
-9(u + -6) = 2u + 21

Reorder the terms:
-9(-6 + u) = 2u + 21
(-6 * -9 + u * -9) = 2u + 21
(54 + -9u) = 2u + 21

Reorder the terms:
54 + -9u = 21 + 2u

Solving
54 + -9u = 21 + 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.
54 + -9u + -2u = 21 + 2u + -2u

Combine like terms: -9u + -2u = -11u
54 + -11u = 21 + 2u + -2u

Combine like terms: 2u + -2u = 0
54 + -11u = 21 + 0
54 + -11u = 21

Add '-54' to each side of the equation.
54 + -54 + -11u = 21 + -54

Combine like terms: 54 + -54 = 0
0 + -11u = 21 + -54
-11u = 21 + -54

Combine like terms: 21 + -54 = -33
-11u = -33

Divide each side by '-11'.
u = 3

Simplifying
u = 3

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