4n+-5+6n=9n+6+-3n+-15

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Solution for 4n+-5+6n=9n+6+-3n+-15 equation:


Simplifying
4n + -5 + 6n = 9n + 6 + -3n + -15

Reorder the terms:
-5 + 4n + 6n = 9n + 6 + -3n + -15

Combine like terms: 4n + 6n = 10n
-5 + 10n = 9n + 6 + -3n + -15

Reorder the terms:
-5 + 10n = 6 + -15 + 9n + -3n

Combine like terms: 6 + -15 = -9
-5 + 10n = -9 + 9n + -3n

Combine like terms: 9n + -3n = 6n
-5 + 10n = -9 + 6n

Solving
-5 + 10n = -9 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-5 + 10n + -6n = -9 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-5 + 4n = -9 + 6n + -6n

Combine like terms: 6n + -6n = 0
-5 + 4n = -9 + 0
-5 + 4n = -9

Add '5' to each side of the equation.
-5 + 5 + 4n = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 4n = -9 + 5
4n = -9 + 5

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

Divide each side by '4'.
n = -1

Simplifying
n = -1

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