-(7n+1)-6(-n-7)=36

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Solution for -(7n+1)-6(-n-7)=36 equation:


Simplifying
-1(7n + 1) + -6(-1n + -7) = 36

Reorder the terms:
-1(1 + 7n) + -6(-1n + -7) = 36
(1 * -1 + 7n * -1) + -6(-1n + -7) = 36
(-1 + -7n) + -6(-1n + -7) = 36

Reorder the terms:
-1 + -7n + -6(-7 + -1n) = 36
-1 + -7n + (-7 * -6 + -1n * -6) = 36
-1 + -7n + (42 + 6n) = 36

Reorder the terms:
-1 + 42 + -7n + 6n = 36

Combine like terms: -1 + 42 = 41
41 + -7n + 6n = 36

Combine like terms: -7n + 6n = -1n
41 + -1n = 36

Solving
41 + -1n = 36

Solving for variable 'n'.

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

Add '-41' to each side of the equation.
41 + -41 + -1n = 36 + -41

Combine like terms: 41 + -41 = 0
0 + -1n = 36 + -41
-1n = 36 + -41

Combine like terms: 36 + -41 = -5
-1n = -5

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

Simplifying
n = 5

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