6-(3n-1)=1-4n

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Solution for 6-(3n-1)=1-4n equation:


Simplifying
6 + -1(3n + -1) = 1 + -4n

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

Combine like terms: 6 + 1 = 7
7 + -3n = 1 + -4n

Solving
7 + -3n = 1 + -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.
7 + -3n + 4n = 1 + -4n + 4n

Combine like terms: -3n + 4n = 1n
7 + 1n = 1 + -4n + 4n

Combine like terms: -4n + 4n = 0
7 + 1n = 1 + 0
7 + 1n = 1

Add '-7' to each side of the equation.
7 + -7 + 1n = 1 + -7

Combine like terms: 7 + -7 = 0
0 + 1n = 1 + -7
1n = 1 + -7

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

Divide each side by '1'.
n = -6

Simplifying
n = -6

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