38=6(u-3)+2u

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Solution for 38=6(u-3)+2u equation:


Simplifying
38 = 6(u + -3) + 2u

Reorder the terms:
38 = 6(-3 + u) + 2u
38 = (-3 * 6 + u * 6) + 2u
38 = (-18 + 6u) + 2u

Combine like terms: 6u + 2u = 8u
38 = -18 + 8u

Solving
38 = -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.
38 + -8u = -18 + 8u + -8u

Combine like terms: 8u + -8u = 0
38 + -8u = -18 + 0
38 + -8u = -18

Add '-38' to each side of the equation.
38 + -38 + -8u = -18 + -38

Combine like terms: 38 + -38 = 0
0 + -8u = -18 + -38
-8u = -18 + -38

Combine like terms: -18 + -38 = -56
-8u = -56

Divide each side by '-8'.
u = 7

Simplifying
u = 7

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