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

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


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

Reorder the terms:
-6 = 2u + 6(3 + u)
-6 = 2u + (3 * 6 + u * 6)
-6 = 2u + (18 + 6u)

Reorder the terms:
-6 = 18 + 2u + 6u

Combine like terms: 2u + 6u = 8u
-6 = 18 + 8u

Solving
-6 = 18 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
-6 + -8u = 18 + 8u + -8u

Combine like terms: 8u + -8u = 0
-6 + -8u = 18 + 0
-6 + -8u = 18

Add '6' to each side of the equation.
-6 + 6 + -8u = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -8u = 18 + 6
-8u = 18 + 6

Combine like terms: 18 + 6 = 24
-8u = 24

Divide each side by '-8'.
u = -3

Simplifying
u = -3

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