-7(n-7)-(6-6n)=-2n

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Solution for -7(n-7)-(6-6n)=-2n equation:


Simplifying
-7(n + -7) + -1(6 + -6n) = -2n

Reorder the terms:
-7(-7 + n) + -1(6 + -6n) = -2n
(-7 * -7 + n * -7) + -1(6 + -6n) = -2n
(49 + -7n) + -1(6 + -6n) = -2n
49 + -7n + (6 * -1 + -6n * -1) = -2n
49 + -7n + (-6 + 6n) = -2n

Reorder the terms:
49 + -6 + -7n + 6n = -2n

Combine like terms: 49 + -6 = 43
43 + -7n + 6n = -2n

Combine like terms: -7n + 6n = -1n
43 + -1n = -2n

Solving
43 + -1n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
43 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
43 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
43 + 1n = 0

Add '-43' to each side of the equation.
43 + -43 + 1n = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 1n = 0 + -43
1n = 0 + -43

Combine like terms: 0 + -43 = -43
1n = -43

Divide each side by '1'.
n = -43

Simplifying
n = -43

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