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

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


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

Reorder the terms:
-6(-3 + n) + -6 = -3(n + -7)
(-3 * -6 + n * -6) + -6 = -3(n + -7)
(18 + -6n) + -6 = -3(n + -7)

Reorder the terms:
18 + -6 + -6n = -3(n + -7)

Combine like terms: 18 + -6 = 12
12 + -6n = -3(n + -7)

Reorder the terms:
12 + -6n = -3(-7 + n)
12 + -6n = (-7 * -3 + n * -3)
12 + -6n = (21 + -3n)

Solving
12 + -6n = 21 + -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.
12 + -6n + 3n = 21 + -3n + 3n

Combine like terms: -6n + 3n = -3n
12 + -3n = 21 + -3n + 3n

Combine like terms: -3n + 3n = 0
12 + -3n = 21 + 0
12 + -3n = 21

Add '-12' to each side of the equation.
12 + -12 + -3n = 21 + -12

Combine like terms: 12 + -12 = 0
0 + -3n = 21 + -12
-3n = 21 + -12

Combine like terms: 21 + -12 = 9
-3n = 9

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

Simplifying
n = -3

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