3(n+7)=6-3(n-5)

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Solution for 3(n+7)=6-3(n-5) equation:


Simplifying
3(n + 7) = 6 + -3(n + -5)

Reorder the terms:
3(7 + n) = 6 + -3(n + -5)
(7 * 3 + n * 3) = 6 + -3(n + -5)
(21 + 3n) = 6 + -3(n + -5)

Reorder the terms:
21 + 3n = 6 + -3(-5 + n)
21 + 3n = 6 + (-5 * -3 + n * -3)
21 + 3n = 6 + (15 + -3n)

Combine like terms: 6 + 15 = 21
21 + 3n = 21 + -3n

Add '-21' to each side of the equation.
21 + -21 + 3n = 21 + -21 + -3n

Combine like terms: 21 + -21 = 0
0 + 3n = 21 + -21 + -3n
3n = 21 + -21 + -3n

Combine like terms: 21 + -21 = 0
3n = 0 + -3n
3n = -3n

Solving
3n = -3n

Solving for variable 'n'.

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

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

Combine like terms: 3n + 3n = 6n
6n = -3n + 3n

Combine like terms: -3n + 3n = 0
6n = 0

Divide each side by '6'.
n = 0

Simplifying
n = 0

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