Question 96161
{{{2*abs(B+4)=48}}} Start with the given equation



{{{abs(B+4)=24}}} Divide both sides by 2 (note: you don't subtract 4 from both sides first. You cannot do this since 4 is inside the absolute value brackets, which are like parenthesis)


Break up the absolute value


{{{B+4=24}}}  or  {{{B+4=-24}}} Set {{{B+4}}} equal to 24 and -24


{{{B=20}}}  or  {{{B=-28}}} Subtract 4 from both sides for each equation



So our answer is:



{{{B=20}}}  or  {{{B=-28}}}





<hr>


Check:


Let's check the answer {{{B=20}}}


{{{2*abs(B+4)=48}}} Start with the given equation


{{{2*abs(20+4)=48}}} Plug in {{{B=20}}} 


{{{2*abs(24)=48}}} Add


{{{2*24=48}}} Take the absolute value of 24 to get 24


{{{48=48}}} Multiply. Since the two sides of the equation are equal, this verifies our answer.




Let's check the answer {{{B=-28}}}


{{{2*abs(B+4)=48}}} Start with the given equation


{{{2*abs(-28+4)=48}}} Plug in {{{B=-28}}} 


{{{2*abs(-24)=48}}} Add


{{{2*24=48}}} Take the absolute value of -24 to get 24


{{{48=48}}} Multiply. Since the two sides of the equation are equal, this verifies our answer.