# How do you solve #31=-(1+6p)+4(p+6)# using the distributive property?

##### 1 Answer

May 27, 2017

#### Explanation:

#31=color(red)(-1)(1+6p)color(red)(+4)(p+6)#

#"multiplying out the brackets (distributive property ) gives"#

#31=-1-6p+4p+24#

#31=23-2plarr" simplifying right side"#

#"subtract 23 from both sides"#

#31-23=cancel(23)cancel(-23)-2p#

#rArr-2p=8larr" reversing the equation"#

#"divide both sides by - 2"#

#(cancel(-2)color(white)(x)p)/cancel(-2)=8/(-2)#

#rArrp=-4#

#color(blue)"As a check"# Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

#-(1-24)+4(-4+6)=23+8=31="left side"#

#rArrp=-4" is the solution"#