-7(4-6n)+3(-n-6)=32

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Solution for -7(4-6n)+3(-n-6)=32 equation: 


Simplifying
-7(4 + -6n) + 3(-1n + -6) = 32
(4 * -7 + -6n * -7) + 3(-1n + -6) = 32
(-28 + 42n) + 3(-1n + -6) = 32

Reorder the terms:
-28 + 42n + 3(-6 + -1n) = 32
-28 + 42n + (-6 * 3 + -1n * 3) = 32
-28 + 42n + (-18 + -3n) = 32

Reorder the terms:
-28 + -18 + 42n + -3n = 32

Combine like terms: -28 + -18 = -46
-46 + 42n + -3n = 32

Combine like terms: 42n + -3n = 39n
-46 + 39n = 32

Solving
-46 + 39n = 32

Solving for variable 'n'.

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

Add '46' to each side of the equation.
-46 + 46 + 39n = 32 + 46

Combine like terms: -46 + 46 = 0
0 + 39n = 32 + 46
39n = 32 + 46

Combine like terms: 32 + 46 = 78
39n = 78

Divide each side by '39'.
n = 2

Simplifying
n = 2

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