6(7-u)=3(u+4)

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Solution for 6(7-u)=3(u+4) equation: 


Simplifying
6(7 + -1u) = 3(u + 4)
(7 * 6 + -1u * 6) = 3(u + 4)
(42 + -6u) = 3(u + 4)

Reorder the terms:
42 + -6u = 3(4 + u)
42 + -6u = (4 * 3 + u * 3)
42 + -6u = (12 + 3u)

Solving
42 + -6u = 12 + 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.
42 + -6u + -3u = 12 + 3u + -3u

Combine like terms: -6u + -3u = -9u
42 + -9u = 12 + 3u + -3u

Combine like terms: 3u + -3u = 0
42 + -9u = 12 + 0
42 + -9u = 12

Add '-42' to each side of the equation.
42 + -42 + -9u = 12 + -42

Combine like terms: 42 + -42 = 0
0 + -9u = 12 + -42
-9u = 12 + -42

Combine like terms: 12 + -42 = -30
-9u = -30

Divide each side by '-9'.
u = 3.333333333

Simplifying
u = 3.333333333

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