3n+17=5n-17

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Solution for 3n+17=5n-17 equation:


Simplifying
3n + 17 = 5n + -17

Reorder the terms:
17 + 3n = 5n + -17

Reorder the terms:
17 + 3n = -17 + 5n

Solving
17 + 3n = -17 + 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.
17 + 3n + -5n = -17 + 5n + -5n

Combine like terms: 3n + -5n = -2n
17 + -2n = -17 + 5n + -5n

Combine like terms: 5n + -5n = 0
17 + -2n = -17 + 0
17 + -2n = -17

Add '-17' to each side of the equation.
17 + -17 + -2n = -17 + -17

Combine like terms: 17 + -17 = 0
0 + -2n = -17 + -17
-2n = -17 + -17

Combine like terms: -17 + -17 = -34
-2n = -34

Divide each side by '-2'.
n = 17

Simplifying
n = 17

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