6+19u+8=3u+6(4u-19)

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Solution for 6+19u+8=3u+6(4u-19) equation: 


Simplifying
6 + 19u + 8 = 3u + 6(4u + -19)

Reorder the terms:
6 + 8 + 19u = 3u + 6(4u + -19)

Combine like terms: 6 + 8 = 14
14 + 19u = 3u + 6(4u + -19)

Reorder the terms:
14 + 19u = 3u + 6(-19 + 4u)
14 + 19u = 3u + (-19 * 6 + 4u * 6)
14 + 19u = 3u + (-114 + 24u)

Reorder the terms:
14 + 19u = -114 + 3u + 24u

Combine like terms: 3u + 24u = 27u
14 + 19u = -114 + 27u

Solving
14 + 19u = -114 + 27u

Solving for variable 'u'.

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

Add '-27u' to each side of the equation.
14 + 19u + -27u = -114 + 27u + -27u

Combine like terms: 19u + -27u = -8u
14 + -8u = -114 + 27u + -27u

Combine like terms: 27u + -27u = 0
14 + -8u = -114 + 0
14 + -8u = -114

Add '-14' to each side of the equation.
14 + -14 + -8u = -114 + -14

Combine like terms: 14 + -14 = 0
0 + -8u = -114 + -14
-8u = -114 + -14

Combine like terms: -114 + -14 = -128
-8u = -128

Divide each side by '-8'.
u = 16

Simplifying
u = 16

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