39+5n=-4(8-2n)+7n

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Solution for 39+5n=-4(8-2n)+7n equation: 


Simplifying
39 + 5n = -4(8 + -2n) + 7n
39 + 5n = (8 * -4 + -2n * -4) + 7n
39 + 5n = (-32 + 8n) + 7n

Combine like terms: 8n + 7n = 15n
39 + 5n = -32 + 15n

Solving
39 + 5n = -32 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
39 + 5n + -15n = -32 + 15n + -15n

Combine like terms: 5n + -15n = -10n
39 + -10n = -32 + 15n + -15n

Combine like terms: 15n + -15n = 0
39 + -10n = -32 + 0
39 + -10n = -32

Add '-39' to each side of the equation.
39 + -39 + -10n = -32 + -39

Combine like terms: 39 + -39 = 0
0 + -10n = -32 + -39
-10n = -32 + -39

Combine like terms: -32 + -39 = -71
-10n = -71

Divide each side by '-10'.
n = 7.1

Simplifying
n = 7.1

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