# How do you solve #-6(n-5)=66# using the distributive property?

##### 1 Answer

Aug 24, 2016

n = - 6

#### Explanation:

The

#color(blue)"distributive property"# means multiply the terms inside the bracket by the number outside the bracket.In general, this is

#color(red)(|bar(ul(color(white)(a/a)color(black)(a(b+c)=ab+ac)color(white)(a/a)|)))# So:

#-6(n-5)=66rArr(-6xxn)+(-6xx-5)=66#

#rArr-6n+30=66# subtract 30 from both sides of the equation.

#rArr-6n+cancel(30)-cancel(30)=66-30rArr-6n=36# now divide both sides by -6 to obtain n

#(cancel(-6)^1 n)/cancel(-6)^1=cancel(36)^-6/cancel(-6)^1rArrn=-6#