-7(n-9)-(7-6n)=-2n

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Solution for -7(n-9)-(7-6n)=-2n equation:


Simplifying
-7(n + -9) + -1(7 + -6n) = -2n

Reorder the terms:
-7(-9 + n) + -1(7 + -6n) = -2n
(-9 * -7 + n * -7) + -1(7 + -6n) = -2n
(63 + -7n) + -1(7 + -6n) = -2n
63 + -7n + (7 * -1 + -6n * -1) = -2n
63 + -7n + (-7 + 6n) = -2n

Reorder the terms:
63 + -7 + -7n + 6n = -2n

Combine like terms: 63 + -7 = 56
56 + -7n + 6n = -2n

Combine like terms: -7n + 6n = -1n
56 + -1n = -2n

Solving
56 + -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.
56 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
56 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
56 + 1n = 0

Add '-56' to each side of the equation.
56 + -56 + 1n = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 1n = 0 + -56
1n = 0 + -56

Combine like terms: 0 + -56 = -56
1n = -56

Divide each side by '1'.
n = -56

Simplifying
n = -56

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