Question 608102


{{{abs(6v+18)=12}}} Start with the given equation



Break up the absolute value (remember, if you have {{{abs(x)=a}}}, then {{{x=-a}}} or {{{x=a}}})


{{{6v+18=-12}}} or {{{6v+18=12}}} Set the expression {{{6v+18}}} equal to the original value 12 and it's opposite -12



Now lets focus on the first equation  {{{6v+18=-12}}}



{{{6v=-12-18}}}Subtract 18 from both sides



{{{6v=-30}}} Combine like terms on the right side



{{{v=(-30)/(6)}}} Divide both sides by 6 to isolate v



{{{v=-5}}} Divide



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Now lets focus on the second equation {{{6v+18=12}}}



{{{6v=12-18}}}Subtract 18 from both sides



{{{6v=-6}}} Combine like terms on the right side



{{{v=(-6)/(6)}}} Divide both sides by 6 to isolate v



{{{v=-1}}} Divide





So the solutions to {{{abs(6v+18)=12}}} are:


{{{v=-5}}} or {{{v=-1}}}

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