3n-5=7n+16

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Solution for 3n-5=7n+16 equation:


Simplifying
3n + -5 = 7n + 16

Reorder the terms:
-5 + 3n = 7n + 16

Reorder the terms:
-5 + 3n = 16 + 7n

Solving
-5 + 3n = 16 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-5 + 3n + -7n = 16 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-5 + -4n = 16 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + -4n = 16 + 0
-5 + -4n = 16

Add '5' to each side of the equation.
-5 + 5 + -4n = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -4n = 16 + 5
-4n = 16 + 5

Combine like terms: 16 + 5 = 21
-4n = 21

Divide each side by '-4'.
n = -5.25

Simplifying
n = -5.25

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