3n+2=5n-33

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Solution for 3n+2=5n-33 equation: 


Simplifying
3n + 2 = 5n + -33

Reorder the terms:
2 + 3n = 5n + -33

Reorder the terms:
2 + 3n = -33 + 5n

Solving
2 + 3n = -33 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 3n + -5n = -33 + 5n + -5n

Combine like terms: 3n + -5n = -2n
2 + -2n = -33 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + -2n = -33 + 0
2 + -2n = -33

Add '-2' to each side of the equation.
2 + -2 + -2n = -33 + -2

Combine like terms: 2 + -2 = 0
0 + -2n = -33 + -2
-2n = -33 + -2

Combine like terms: -33 + -2 = -35
-2n = -35

Divide each side by '-2'.
n = 17.5

Simplifying
n = 17.5

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