-9(2n-4)=-4(3n+12)

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Solution for -9(2n-4)=-4(3n+12) equation:


Simplifying
-9(2n + -4) = -4(3n + 12)

Reorder the terms:
-9(-4 + 2n) = -4(3n + 12)
(-4 * -9 + 2n * -9) = -4(3n + 12)
(36 + -18n) = -4(3n + 12)

Reorder the terms:
36 + -18n = -4(12 + 3n)
36 + -18n = (12 * -4 + 3n * -4)
36 + -18n = (-48 + -12n)

Solving
36 + -18n = -48 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
36 + -18n + 12n = -48 + -12n + 12n

Combine like terms: -18n + 12n = -6n
36 + -6n = -48 + -12n + 12n

Combine like terms: -12n + 12n = 0
36 + -6n = -48 + 0
36 + -6n = -48

Add '-36' to each side of the equation.
36 + -36 + -6n = -48 + -36

Combine like terms: 36 + -36 = 0
0 + -6n = -48 + -36
-6n = -48 + -36

Combine like terms: -48 + -36 = -84
-6n = -84

Divide each side by '-6'.
n = 14

Simplifying
n = 14

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