7n+14=4n-17

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Solution for 7n+14=4n-17 equation:


Simplifying
7n + 14 = 4n + -17

Reorder the terms:
14 + 7n = 4n + -17

Reorder the terms:
14 + 7n = -17 + 4n

Solving
14 + 7n = -17 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
14 + 7n + -4n = -17 + 4n + -4n

Combine like terms: 7n + -4n = 3n
14 + 3n = -17 + 4n + -4n

Combine like terms: 4n + -4n = 0
14 + 3n = -17 + 0
14 + 3n = -17

Add '-14' to each side of the equation.
14 + -14 + 3n = -17 + -14

Combine like terms: 14 + -14 = 0
0 + 3n = -17 + -14
3n = -17 + -14

Combine like terms: -17 + -14 = -31
3n = -31

Divide each side by '3'.
n = -10.33333333

Simplifying
n = -10.33333333

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