39=8(6+2n)-7(-5n-6)

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Solution for 39=8(6+2n)-7(-5n-6) equation: 


Simplifying
39 = 8(6 + 2n) + -7(-5n + -6)
39 = (6 * 8 + 2n * 8) + -7(-5n + -6)
39 = (48 + 16n) + -7(-5n + -6)

Reorder the terms:
39 = 48 + 16n + -7(-6 + -5n)
39 = 48 + 16n + (-6 * -7 + -5n * -7)
39 = 48 + 16n + (42 + 35n)

Reorder the terms:
39 = 48 + 42 + 16n + 35n

Combine like terms: 48 + 42 = 90
39 = 90 + 16n + 35n

Combine like terms: 16n + 35n = 51n
39 = 90 + 51n

Solving
39 = 90 + 51n

Solving for variable 'n'.

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

Add '-51n' to each side of the equation.
39 + -51n = 90 + 51n + -51n

Combine like terms: 51n + -51n = 0
39 + -51n = 90 + 0
39 + -51n = 90

Add '-39' to each side of the equation.
39 + -39 + -51n = 90 + -39

Combine like terms: 39 + -39 = 0
0 + -51n = 90 + -39
-51n = 90 + -39

Combine like terms: 90 + -39 = 51
-51n = 51

Divide each side by '-51'.
n = -1

Simplifying
n = -1

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