3+3n-1=7n+6-3n

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Solution for 3+3n-1=7n+6-3n equation:


Simplifying
3 + 3n + -1 = 7n + 6 + -3n

Reorder the terms:
3 + -1 + 3n = 7n + 6 + -3n

Combine like terms: 3 + -1 = 2
2 + 3n = 7n + 6 + -3n

Reorder the terms:
2 + 3n = 6 + 7n + -3n

Combine like terms: 7n + -3n = 4n
2 + 3n = 6 + 4n

Solving
2 + 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.
2 + 3n + -4n = 6 + 4n + -4n

Combine like terms: 3n + -4n = -1n
2 + -1n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -1n = 6 + 0
2 + -1n = 6

Add '-2' to each side of the equation.
2 + -2 + -1n = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 6 + -2
-1n = 6 + -2

Combine like terms: 6 + -2 = 4
-1n = 4

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

Simplifying
n = -4

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