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

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


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

Reorder the terms:
-3(-5 + 5u) + 9u = 9 + 2(3u + -5)
(-5 * -3 + 5u * -3) + 9u = 9 + 2(3u + -5)
(15 + -15u) + 9u = 9 + 2(3u + -5)

Combine like terms: -15u + 9u = -6u
15 + -6u = 9 + 2(3u + -5)

Reorder the terms:
15 + -6u = 9 + 2(-5 + 3u)
15 + -6u = 9 + (-5 * 2 + 3u * 2)
15 + -6u = 9 + (-10 + 6u)

Combine like terms: 9 + -10 = -1
15 + -6u = -1 + 6u

Solving
15 + -6u = -1 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
15 + -6u + -6u = -1 + 6u + -6u

Combine like terms: -6u + -6u = -12u
15 + -12u = -1 + 6u + -6u

Combine like terms: 6u + -6u = 0
15 + -12u = -1 + 0
15 + -12u = -1

Add '-15' to each side of the equation.
15 + -15 + -12u = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -12u = -1 + -15
-12u = -1 + -15

Combine like terms: -1 + -15 = -16
-12u = -16

Divide each side by '-12'.
u = 1.333333333

Simplifying
u = 1.333333333

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