3n-1=4n+6

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


Simplifying
3n + -1 = 4n + 6

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

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

Solving
-1 + 3n = 6 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-1 + 3n + -4n = 6 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
-1 + -1n = 6 + 0
-1 + -1n = 6

Add '1' to each side of the equation.
-1 + 1 + -1n = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -1n = 6 + 1
-1n = 6 + 1

Combine like terms: 6 + 1 = 7
-1n = 7

Divide each side by '-1'.
n = -7

Simplifying
n = -7

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