5(3-3n)-n=39-8n

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Solution for 5(3-3n)-n=39-8n equation:


Simplifying
5(3 + -3n) + -1n = 39 + -8n
(3 * 5 + -3n * 5) + -1n = 39 + -8n
(15 + -15n) + -1n = 39 + -8n

Combine like terms: -15n + -1n = -16n
15 + -16n = 39 + -8n

Solving
15 + -16n = 39 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
15 + -16n + 8n = 39 + -8n + 8n

Combine like terms: -16n + 8n = -8n
15 + -8n = 39 + -8n + 8n

Combine like terms: -8n + 8n = 0
15 + -8n = 39 + 0
15 + -8n = 39

Add '-15' to each side of the equation.
15 + -15 + -8n = 39 + -15

Combine like terms: 15 + -15 = 0
0 + -8n = 39 + -15
-8n = 39 + -15

Combine like terms: 39 + -15 = 24
-8n = 24

Divide each side by '-8'.
n = -3

Simplifying
n = -3

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