-4(n-2)=-6(6+3n)+2

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Solution for -4(n-2)=-6(6+3n)+2 equation:


Simplifying
-4(n + -2) = -6(6 + 3n) + 2

Reorder the terms:
-4(-2 + n) = -6(6 + 3n) + 2
(-2 * -4 + n * -4) = -6(6 + 3n) + 2
(8 + -4n) = -6(6 + 3n) + 2
8 + -4n = (6 * -6 + 3n * -6) + 2
8 + -4n = (-36 + -18n) + 2

Reorder the terms:
8 + -4n = -36 + 2 + -18n

Combine like terms: -36 + 2 = -34
8 + -4n = -34 + -18n

Solving
8 + -4n = -34 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
8 + -4n + 18n = -34 + -18n + 18n

Combine like terms: -4n + 18n = 14n
8 + 14n = -34 + -18n + 18n

Combine like terms: -18n + 18n = 0
8 + 14n = -34 + 0
8 + 14n = -34

Add '-8' to each side of the equation.
8 + -8 + 14n = -34 + -8

Combine like terms: 8 + -8 = 0
0 + 14n = -34 + -8
14n = -34 + -8

Combine like terms: -34 + -8 = -42
14n = -42

Divide each side by '14'.
n = -3

Simplifying
n = -3

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