4(-3n-2)=16-9n

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Solution for 4(-3n-2)=16-9n equation:


Simplifying
4(-3n + -2) = 16 + -9n

Reorder the terms:
4(-2 + -3n) = 16 + -9n
(-2 * 4 + -3n * 4) = 16 + -9n
(-8 + -12n) = 16 + -9n

Solving
-8 + -12n = 16 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
-8 + -12n + 9n = 16 + -9n + 9n

Combine like terms: -12n + 9n = -3n
-8 + -3n = 16 + -9n + 9n

Combine like terms: -9n + 9n = 0
-8 + -3n = 16 + 0
-8 + -3n = 16

Add '8' to each side of the equation.
-8 + 8 + -3n = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -3n = 16 + 8
-3n = 16 + 8

Combine like terms: 16 + 8 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8

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