14n-55=9(n+85)

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Solution for 14n-55=9(n+85) equation:


Simplifying
14n + -55 = 9(n + 85)

Reorder the terms:
-55 + 14n = 9(n + 85)

Reorder the terms:
-55 + 14n = 9(85 + n)
-55 + 14n = (85 * 9 + n * 9)
-55 + 14n = (765 + 9n)

Solving
-55 + 14n = 765 + 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.
-55 + 14n + -9n = 765 + 9n + -9n

Combine like terms: 14n + -9n = 5n
-55 + 5n = 765 + 9n + -9n

Combine like terms: 9n + -9n = 0
-55 + 5n = 765 + 0
-55 + 5n = 765

Add '55' to each side of the equation.
-55 + 55 + 5n = 765 + 55

Combine like terms: -55 + 55 = 0
0 + 5n = 765 + 55
5n = 765 + 55

Combine like terms: 765 + 55 = 820
5n = 820

Divide each side by '5'.
n = 164

Simplifying
n = 164

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