5n+11=7n-9

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Solution for 5n+11=7n-9 equation:


Simplifying
5n + 11 = 7n + -9

Reorder the terms:
11 + 5n = 7n + -9

Reorder the terms:
11 + 5n = -9 + 7n

Solving
11 + 5n = -9 + 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.
11 + 5n + -7n = -9 + 7n + -7n

Combine like terms: 5n + -7n = -2n
11 + -2n = -9 + 7n + -7n

Combine like terms: 7n + -7n = 0
11 + -2n = -9 + 0
11 + -2n = -9

Add '-11' to each side of the equation.
11 + -11 + -2n = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -2n = -9 + -11
-2n = -9 + -11

Combine like terms: -9 + -11 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10

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