Simplify? 2( v - 5 ) - 4v

1 Answer
Feb 18, 2018

#"-2v-10#

Explanation:

Multiply everything inside the brackets by 2 giving:

#color(green)(2v-10-4v)#

Regrouping

#color(green)(2v-4v-10)#

Note that #-4v# can be split into #-2v-2v# so by substituting for #-4v# we have

#color(green)(2vcolor(red)(-4v)-10color(white)("dddd")->color(white)("dddd")ubrace(2vcolor(red)(-2v))color(red)(-2v)-10 )#

#color(green)(color(white)("ddddddddddddd")->color(white)("ddddd.d")0color(white)("d")color(white)("d")-2v-10 )#

#color(white)("d")#
#color(white)("d")#

#color(green)("Simplified gives "-2v-10)#