(n+n+4)6-3=5(-(n+6))

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Solution for (n+n+4)6-3=5(-(n+6)) equation:


Simplifying
(n + n + 4) * 6 + -3 = 5(-1(n + 6))

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

Combine like terms: n + n = 2n
(4 + 2n) * 6 + -3 = 5(-1(n + 6))

Reorder the terms for easier multiplication:
6(4 + 2n) + -3 = 5(-1(n + 6))
(4 * 6 + 2n * 6) + -3 = 5(-1(n + 6))
(24 + 12n) + -3 = 5(-1(n + 6))

Reorder the terms:
24 + -3 + 12n = 5(-1(n + 6))

Combine like terms: 24 + -3 = 21
21 + 12n = 5(-1(n + 6))

Reorder the terms:
21 + 12n = 5(-1(6 + n))
21 + 12n = 5((6 * -1 + n * -1))
21 + 12n = 5((-6 + -1n))
21 + 12n = (-6 * 5 + -1n * 5)
21 + 12n = (-30 + -5n)

Solving
21 + 12n = -30 + -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.
21 + 12n + 5n = -30 + -5n + 5n

Combine like terms: 12n + 5n = 17n
21 + 17n = -30 + -5n + 5n

Combine like terms: -5n + 5n = 0
21 + 17n = -30 + 0
21 + 17n = -30

Add '-21' to each side of the equation.
21 + -21 + 17n = -30 + -21

Combine like terms: 21 + -21 = 0
0 + 17n = -30 + -21
17n = -30 + -21

Combine like terms: -30 + -21 = -51
17n = -51

Divide each side by '17'.
n = -3

Simplifying
n = -3

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