3(u-9)-3=-3(-7u+6)-8u

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Solution for 3(u-9)-3=-3(-7u+6)-8u equation:


Simplifying
3(u + -9) + -3 = -3(-7u + 6) + -8u

Reorder the terms:
3(-9 + u) + -3 = -3(-7u + 6) + -8u
(-9 * 3 + u * 3) + -3 = -3(-7u + 6) + -8u
(-27 + 3u) + -3 = -3(-7u + 6) + -8u

Reorder the terms:
-27 + -3 + 3u = -3(-7u + 6) + -8u

Combine like terms: -27 + -3 = -30
-30 + 3u = -3(-7u + 6) + -8u

Reorder the terms:
-30 + 3u = -3(6 + -7u) + -8u
-30 + 3u = (6 * -3 + -7u * -3) + -8u
-30 + 3u = (-18 + 21u) + -8u

Combine like terms: 21u + -8u = 13u
-30 + 3u = -18 + 13u

Solving
-30 + 3u = -18 + 13u

Solving for variable 'u'.

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

Add '-13u' to each side of the equation.
-30 + 3u + -13u = -18 + 13u + -13u

Combine like terms: 3u + -13u = -10u
-30 + -10u = -18 + 13u + -13u

Combine like terms: 13u + -13u = 0
-30 + -10u = -18 + 0
-30 + -10u = -18

Add '30' to each side of the equation.
-30 + 30 + -10u = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -10u = -18 + 30
-10u = -18 + 30

Combine like terms: -18 + 30 = 12
-10u = 12

Divide each side by '-10'.
u = -1.2

Simplifying
u = -1.2

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