3(2n-6)=4n-32

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Solution for 3(2n-6)=4n-32 equation: 


Simplifying
3(2n + -6) = 4n + -32

Reorder the terms:
3(-6 + 2n) = 4n + -32
(-6 * 3 + 2n * 3) = 4n + -32
(-18 + 6n) = 4n + -32

Reorder the terms:
-18 + 6n = -32 + 4n

Solving
-18 + 6n = -32 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-18 + 6n + -4n = -32 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-18 + 2n = -32 + 4n + -4n

Combine like terms: 4n + -4n = 0
-18 + 2n = -32 + 0
-18 + 2n = -32

Add '18' to each side of the equation.
-18 + 18 + 2n = -32 + 18

Combine like terms: -18 + 18 = 0
0 + 2n = -32 + 18
2n = -32 + 18

Combine like terms: -32 + 18 = -14
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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