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whats the answer to -(3k -12)

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Notice that another way to think of negating a number or expression (negating is a fancy way of saying putting a negative sign in front of it) is instead to think of multiplying the number or expression by -1.
 
E.g.  -4  =  (-1) * 4
E.g.  -(x + y)  =  (-1)(x + y)  =  (-1)x + (-1)y  =  -x + -y  =  -x - y
 
-(3k - 12)  = -(3k + -12)  =  (-1)(3k + -12)  =  (-1)3k + (-1)(-12)  =  -3k + 12
 
Although to save time, this can be instead thought of as distributing the negative/minus sign.
 
-(3k - 12)  =  -(3k) - -12  =  -3k + 12

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