9(u+2)=2u-3

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


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

Reorder the terms:
9(2 + u) = 2u + -3
(2 * 9 + u * 9) = 2u + -3
(18 + 9u) = 2u + -3

Reorder the terms:
18 + 9u = -3 + 2u

Solving
18 + 9u = -3 + 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.
18 + 9u + -2u = -3 + 2u + -2u

Combine like terms: 9u + -2u = 7u
18 + 7u = -3 + 2u + -2u

Combine like terms: 2u + -2u = 0
18 + 7u = -3 + 0
18 + 7u = -3

Add '-18' to each side of the equation.
18 + -18 + 7u = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 7u = -3 + -18
7u = -3 + -18

Combine like terms: -3 + -18 = -21
7u = -21

Divide each side by '7'.
u = -3

Simplifying
u = -3

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