5n-10=33n+50

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Solution for 5n-10=33n+50 equation:


Simplifying
5n + -10 = 33n + 50

Reorder the terms:
-10 + 5n = 33n + 50

Reorder the terms:
-10 + 5n = 50 + 33n

Solving
-10 + 5n = 50 + 33n

Solving for variable 'n'.

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

Add '-33n' to each side of the equation.
-10 + 5n + -33n = 50 + 33n + -33n

Combine like terms: 5n + -33n = -28n
-10 + -28n = 50 + 33n + -33n

Combine like terms: 33n + -33n = 0
-10 + -28n = 50 + 0
-10 + -28n = 50

Add '10' to each side of the equation.
-10 + 10 + -28n = 50 + 10

Combine like terms: -10 + 10 = 0
0 + -28n = 50 + 10
-28n = 50 + 10

Combine like terms: 50 + 10 = 60
-28n = 60

Divide each side by '-28'.
n = -2.142857143

Simplifying
n = -2.142857143

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