-2(8u-6)+9u=3(u+9)

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Solution for -2(8u-6)+9u=3(u+9) equation:


Simplifying
-2(8u + -6) + 9u = 3(u + 9)

Reorder the terms:
-2(-6 + 8u) + 9u = 3(u + 9)
(-6 * -2 + 8u * -2) + 9u = 3(u + 9)
(12 + -16u) + 9u = 3(u + 9)

Combine like terms: -16u + 9u = -7u
12 + -7u = 3(u + 9)

Reorder the terms:
12 + -7u = 3(9 + u)
12 + -7u = (9 * 3 + u * 3)
12 + -7u = (27 + 3u)

Solving
12 + -7u = 27 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
12 + -7u + -3u = 27 + 3u + -3u

Combine like terms: -7u + -3u = -10u
12 + -10u = 27 + 3u + -3u

Combine like terms: 3u + -3u = 0
12 + -10u = 27 + 0
12 + -10u = 27

Add '-12' to each side of the equation.
12 + -12 + -10u = 27 + -12

Combine like terms: 12 + -12 = 0
0 + -10u = 27 + -12
-10u = 27 + -12

Combine like terms: 27 + -12 = 15
-10u = 15

Divide each side by '-10'.
u = -1.5

Simplifying
u = -1.5

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