3(n-6)=(5)(-n)+6

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Solution for 3(n-6)=(5)(-n)+6 equation:


Simplifying
3(n + -6) = (5)(-1n) + 6

Reorder the terms:
3(-6 + n) = (5)(-1n) + 6
(-6 * 3 + n * 3) = (5)(-1n) + 6
(-18 + 3n) = (5)(-1n) + 6

Remove parenthesis around (-1n)
-18 + 3n = 5 * -1n + 6

Multiply 5 * -1
-18 + 3n = -5n + 6

Reorder the terms:
-18 + 3n = 6 + -5n

Solving
-18 + 3n = 6 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-18 + 3n + 5n = 6 + -5n + 5n

Combine like terms: 3n + 5n = 8n
-18 + 8n = 6 + -5n + 5n

Combine like terms: -5n + 5n = 0
-18 + 8n = 6 + 0
-18 + 8n = 6

Add '18' to each side of the equation.
-18 + 18 + 8n = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 8n = 6 + 18
8n = 6 + 18

Combine like terms: 6 + 18 = 24
8n = 24

Divide each side by '8'.
n = 3

Simplifying
n = 3

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