6-(4n-6)=1-(5n)

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Solution for 6-(4n-6)=1-(5n) equation:


Simplifying
6 + -1(4n + -6) = 1 + -1(5n)

Reorder the terms:
6 + -1(-6 + 4n) = 1 + -1(5n)
6 + (-6 * -1 + 4n * -1) = 1 + -1(5n)
6 + (6 + -4n) = 1 + -1(5n)

Combine like terms: 6 + 6 = 12
12 + -4n = 1 + -1(5n)

Remove parenthesis around (5n)
12 + -4n = 1 + -1 * 5n

Multiply -1 * 5
12 + -4n = 1 + -5n

Solving
12 + -4n = 1 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
12 + -4n + 5n = 1 + -5n + 5n

Combine like terms: -4n + 5n = 1n
12 + 1n = 1 + -5n + 5n

Combine like terms: -5n + 5n = 0
12 + 1n = 1 + 0
12 + 1n = 1

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

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

Combine like terms: 1 + -12 = -11
1n = -11

Divide each side by '1'.
n = -11

Simplifying
n = -11

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