6(-3n+8)-12=-(n+15)

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Solution for 6(-3n+8)-12=-(n+15) equation: 


Simplifying
6(-3n + 8) + -12 = -1(n + 15)

Reorder the terms:
6(8 + -3n) + -12 = -1(n + 15)
(8 * 6 + -3n * 6) + -12 = -1(n + 15)
(48 + -18n) + -12 = -1(n + 15)

Reorder the terms:
48 + -12 + -18n = -1(n + 15)

Combine like terms: 48 + -12 = 36
36 + -18n = -1(n + 15)

Reorder the terms:
36 + -18n = -1(15 + n)
36 + -18n = (15 * -1 + n * -1)
36 + -18n = (-15 + -1n)

Solving
36 + -18n = -15 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
36 + -18n + n = -15 + -1n + n

Combine like terms: -18n + n = -17n
36 + -17n = -15 + -1n + n

Combine like terms: -1n + n = 0
36 + -17n = -15 + 0
36 + -17n = -15

Add '-36' to each side of the equation.
36 + -36 + -17n = -15 + -36

Combine like terms: 36 + -36 = 0
0 + -17n = -15 + -36
-17n = -15 + -36

Combine like terms: -15 + -36 = -51
-17n = -51

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

Simplifying
n = 3

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