-39+4n=-6(n-8)-7

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Solution for -39+4n=-6(n-8)-7 equation:


Simplifying
-39 + 4n = -6(n + -8) + -7

Reorder the terms:
-39 + 4n = -6(-8 + n) + -7
-39 + 4n = (-8 * -6 + n * -6) + -7
-39 + 4n = (48 + -6n) + -7

Reorder the terms:
-39 + 4n = 48 + -7 + -6n

Combine like terms: 48 + -7 = 41
-39 + 4n = 41 + -6n

Solving
-39 + 4n = 41 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-39 + 4n + 6n = 41 + -6n + 6n

Combine like terms: 4n + 6n = 10n
-39 + 10n = 41 + -6n + 6n

Combine like terms: -6n + 6n = 0
-39 + 10n = 41 + 0
-39 + 10n = 41

Add '39' to each side of the equation.
-39 + 39 + 10n = 41 + 39

Combine like terms: -39 + 39 = 0
0 + 10n = 41 + 39
10n = 41 + 39

Combine like terms: 41 + 39 = 80
10n = 80

Divide each side by '10'.
n = 8

Simplifying
n = 8

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