6-(3n-6)=7-4n

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Solution for 6-(3n-6)=7-4n equation: 


Simplifying
6 + -1(3n + -6) = 7 + -4n

Reorder the terms:
6 + -1(-6 + 3n) = 7 + -4n
6 + (-6 * -1 + 3n * -1) = 7 + -4n
6 + (6 + -3n) = 7 + -4n

Combine like terms: 6 + 6 = 12
12 + -3n = 7 + -4n

Solving
12 + -3n = 7 + -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.
12 + -3n + 4n = 7 + -4n + 4n

Combine like terms: -3n + 4n = 1n
12 + 1n = 7 + -4n + 4n

Combine like terms: -4n + 4n = 0
12 + 1n = 7 + 0
12 + 1n = 7

Add '-12' to each side of the equation.
12 + -12 + 1n = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 1n = 7 + -12
1n = 7 + -12

Combine like terms: 7 + -12 = -5
1n = -5

Divide each side by '1'.
n = -5

Simplifying
n = -5

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