5u+6=16u-3u+54

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Solution for 5u+6=16u-3u+54 equation:


Simplifying
5u + 6 = 16u + -3u + 54

Reorder the terms:
6 + 5u = 16u + -3u + 54

Reorder the terms:
6 + 5u = 54 + 16u + -3u

Combine like terms: 16u + -3u = 13u
6 + 5u = 54 + 13u

Solving
6 + 5u = 54 + 13u

Solving for variable 'u'.

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

Add '-13u' to each side of the equation.
6 + 5u + -13u = 54 + 13u + -13u

Combine like terms: 5u + -13u = -8u
6 + -8u = 54 + 13u + -13u

Combine like terms: 13u + -13u = 0
6 + -8u = 54 + 0
6 + -8u = 54

Add '-6' to each side of the equation.
6 + -6 + -8u = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -8u = 54 + -6
-8u = 54 + -6

Combine like terms: 54 + -6 = 48
-8u = 48

Divide each side by '-8'.
u = -6

Simplifying
u = -6

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