How do you solve #-11.2+4(2.1+q)=-0.8#?

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Answer 1 · 2016-08-05T09:42:07

#q=0.5#

Given:#" "-11.2+4(2.1+q)=-0.8#

Lets get rid of the decimals; multiply everything by # color(blue)(10)#

#color(brown)(color(blue)(10)[-11.2+4(2.1+q)]=color(blue)(10)(-0.8))#

#-112+4(21+10q)=-8#

Add #112# to both sides

#4(21+10q)=104#

Divide both sides by 4

#21+10q=26#

Subtract 21 from both sides

#10q=5#

Divide both sides by 10

#q=0.5#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
check:
-11.2+4(2.1+0.5)=-0.8#color(red)(larr" Solution confirmed")#