17(3u-16)=7(7u+4)

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Solution for 17(3u-16)=7(7u+4) equation: 


Simplifying
17(3u + -16) = 7(7u + 4)

Reorder the terms:
17(-16 + 3u) = 7(7u + 4)
(-16 * 17 + 3u * 17) = 7(7u + 4)
(-272 + 51u) = 7(7u + 4)

Reorder the terms:
-272 + 51u = 7(4 + 7u)
-272 + 51u = (4 * 7 + 7u * 7)
-272 + 51u = (28 + 49u)

Solving
-272 + 51u = 28 + 49u

Solving for variable 'u'.

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

Add '-49u' to each side of the equation.
-272 + 51u + -49u = 28 + 49u + -49u

Combine like terms: 51u + -49u = 2u
-272 + 2u = 28 + 49u + -49u

Combine like terms: 49u + -49u = 0
-272 + 2u = 28 + 0
-272 + 2u = 28

Add '272' to each side of the equation.
-272 + 272 + 2u = 28 + 272

Combine like terms: -272 + 272 = 0
0 + 2u = 28 + 272
2u = 28 + 272

Combine like terms: 28 + 272 = 300
2u = 300

Divide each side by '2'.
u = 150

Simplifying
u = 150

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