6=8(u+3)-6u

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


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

Reorder the terms:
6 = 8(3 + u) + -6u
6 = (3 * 8 + u * 8) + -6u
6 = (24 + 8u) + -6u

Combine like terms: 8u + -6u = 2u
6 = 24 + 2u

Solving
6 = 24 + 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.
6 + -2u = 24 + 2u + -2u

Combine like terms: 2u + -2u = 0
6 + -2u = 24 + 0
6 + -2u = 24

Add '-6' to each side of the equation.
6 + -6 + -2u = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -2u = 24 + -6
-2u = 24 + -6

Combine like terms: 24 + -6 = 18
-2u = 18

Divide each side by '-2'.
u = -9

Simplifying
u = -9

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