4n+1n-4=6+3n-15

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Solution for 4n+1n-4=6+3n-15 equation:


Simplifying
4n + 1n + -4 = 6 + 3n + -15

Reorder the terms:
-4 + 4n + 1n = 6 + 3n + -15

Combine like terms: 4n + 1n = 5n
-4 + 5n = 6 + 3n + -15

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

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

Solving
-4 + 5n = -9 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-4 + 5n + -3n = -9 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-4 + 2n = -9 + 3n + -3n

Combine like terms: 3n + -3n = 0
-4 + 2n = -9 + 0
-4 + 2n = -9

Add '4' to each side of the equation.
-4 + 4 + 2n = -9 + 4

Combine like terms: -4 + 4 = 0
0 + 2n = -9 + 4
2n = -9 + 4

Combine like terms: -9 + 4 = -5
2n = -5

Divide each side by '2'.
n = -2.5

Simplifying
n = -2.5

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