5n+6=9n-7

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Solution for 5n+6=9n-7 equation:


Simplifying
5n + 6 = 9n + -7

Reorder the terms:
6 + 5n = 9n + -7

Reorder the terms:
6 + 5n = -7 + 9n

Solving
6 + 5n = -7 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
6 + 5n + -9n = -7 + 9n + -9n

Combine like terms: 5n + -9n = -4n
6 + -4n = -7 + 9n + -9n

Combine like terms: 9n + -9n = 0
6 + -4n = -7 + 0
6 + -4n = -7

Add '-6' to each side of the equation.
6 + -6 + -4n = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = -7 + -6
-4n = -7 + -6

Combine like terms: -7 + -6 = -13
-4n = -13

Divide each side by '-4'.
n = 3.25

Simplifying
n = 3.25

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