-7(n-6)-(2n-8)=-16n

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Solution for -7(n-6)-(2n-8)=-16n equation:


Simplifying
-7(n + -6) + -1(2n + -8) = -16n

Reorder the terms:
-7(-6 + n) + -1(2n + -8) = -16n
(-6 * -7 + n * -7) + -1(2n + -8) = -16n
(42 + -7n) + -1(2n + -8) = -16n

Reorder the terms:
42 + -7n + -1(-8 + 2n) = -16n
42 + -7n + (-8 * -1 + 2n * -1) = -16n
42 + -7n + (8 + -2n) = -16n

Reorder the terms:
42 + 8 + -7n + -2n = -16n

Combine like terms: 42 + 8 = 50
50 + -7n + -2n = -16n

Combine like terms: -7n + -2n = -9n
50 + -9n = -16n

Solving
50 + -9n = -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
50 + -9n + 16n = -16n + 16n

Combine like terms: -9n + 16n = 7n
50 + 7n = -16n + 16n

Combine like terms: -16n + 16n = 0
50 + 7n = 0

Add '-50' to each side of the equation.
50 + -50 + 7n = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 7n = 0 + -50
7n = 0 + -50

Combine like terms: 0 + -50 = -50
7n = -50

Divide each side by '7'.
n = -7.142857143

Simplifying
n = -7.142857143

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