3(u+9)=-5(2u-3)+5u

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Solution for 3(u+9)=-5(2u-3)+5u equation:


Simplifying
3(u + 9) = -5(2u + -3) + 5u

Reorder the terms:
3(9 + u) = -5(2u + -3) + 5u
(9 * 3 + u * 3) = -5(2u + -3) + 5u
(27 + 3u) = -5(2u + -3) + 5u

Reorder the terms:
27 + 3u = -5(-3 + 2u) + 5u
27 + 3u = (-3 * -5 + 2u * -5) + 5u
27 + 3u = (15 + -10u) + 5u

Combine like terms: -10u + 5u = -5u
27 + 3u = 15 + -5u

Solving
27 + 3u = 15 + -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.
27 + 3u + 5u = 15 + -5u + 5u

Combine like terms: 3u + 5u = 8u
27 + 8u = 15 + -5u + 5u

Combine like terms: -5u + 5u = 0
27 + 8u = 15 + 0
27 + 8u = 15

Add '-27' to each side of the equation.
27 + -27 + 8u = 15 + -27

Combine like terms: 27 + -27 = 0
0 + 8u = 15 + -27
8u = 15 + -27

Combine like terms: 15 + -27 = -12
8u = -12

Divide each side by '8'.
u = -1.5

Simplifying
u = -1.5

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