9(u+3)=2u+13

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Solution for 9(u+3)=2u+13 equation:


Simplifying
9(u + 3) = 2u + 13

Reorder the terms:
9(3 + u) = 2u + 13
(3 * 9 + u * 9) = 2u + 13
(27 + 9u) = 2u + 13

Reorder the terms:
27 + 9u = 13 + 2u

Solving
27 + 9u = 13 + 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.
27 + 9u + -2u = 13 + 2u + -2u

Combine like terms: 9u + -2u = 7u
27 + 7u = 13 + 2u + -2u

Combine like terms: 2u + -2u = 0
27 + 7u = 13 + 0
27 + 7u = 13

Add '-27' to each side of the equation.
27 + -27 + 7u = 13 + -27

Combine like terms: 27 + -27 = 0
0 + 7u = 13 + -27
7u = 13 + -27

Combine like terms: 13 + -27 = -14
7u = -14

Divide each side by '7'.
u = -2

Simplifying
u = -2

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