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 $color(red)(larr" Solution confirmed")$

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