SOLUTION: |6v + 18| = 12

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Question 608102: |6v + 18| = 12
Answer by jim_thompson5910(35256) About Me  (Show Source):
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abs%286v%2B18%29=12 Start with the given equation


Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

6v%2B18=-12 or 6v%2B18=12 Set the expression 6v%2B18 equal to the original value 12 and it's opposite -12


Now lets focus on the first equation 6v%2B18=-12


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


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


v=%28-30%29%2F%286%29 Divide both sides by 6 to isolate v


v=-5 Divide


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Now lets focus on the second equation 6v%2B18=12


6v=12-18Subtract 18 from both sides


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


v=%28-6%29%2F%286%29 Divide both sides by 6 to isolate v


v=-1 Divide




So the solutions to abs%286v%2B18%29=12 are:

v=-5 or v=-1
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