7n-16=4n+17

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Solution for 7n-16=4n+17 equation:


Simplifying
7n + -16 = 4n + 17

Reorder the terms:
-16 + 7n = 4n + 17

Reorder the terms:
-16 + 7n = 17 + 4n

Solving
-16 + 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.
-16 + 7n + -4n = 17 + 4n + -4n

Combine like terms: 7n + -4n = 3n
-16 + 3n = 17 + 4n + -4n

Combine like terms: 4n + -4n = 0
-16 + 3n = 17 + 0
-16 + 3n = 17

Add '16' to each side of the equation.
-16 + 16 + 3n = 17 + 16

Combine like terms: -16 + 16 = 0
0 + 3n = 17 + 16
3n = 17 + 16

Combine like terms: 17 + 16 = 33
3n = 33

Divide each side by '3'.
n = 11

Simplifying
n = 11

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