-5+6=-7(5n-6)-6n

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Solution for -5+6=-7(5n-6)-6n equation:


Simplifying
-5 + 6 = -7(5n + -6) + -6n

Combine like terms: -5 + 6 = 1
1 = -7(5n + -6) + -6n

Reorder the terms:
1 = -7(-6 + 5n) + -6n
1 = (-6 * -7 + 5n * -7) + -6n
1 = (42 + -35n) + -6n

Combine like terms: -35n + -6n = -41n
1 = 42 + -41n

Solving
1 = 42 + -41n

Solving for variable 'n'.

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

Add '41n' to each side of the equation.
1 + 41n = 42 + -41n + 41n

Combine like terms: -41n + 41n = 0
1 + 41n = 42 + 0
1 + 41n = 42

Add '-1' to each side of the equation.
1 + -1 + 41n = 42 + -1

Combine like terms: 1 + -1 = 0
0 + 41n = 42 + -1
41n = 42 + -1

Combine like terms: 42 + -1 = 41
41n = 41

Divide each side by '41'.
n = 1

Simplifying
n = 1

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