SOLUTION: Solve each absolute value equation b.|3x-7|=16

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Start with the given equation


Break up the absolute value (remember, if you have , then or )

or Set the expression equal to the original value 16 and it's opposite -16




Now lets focus on the first equation


Add 7 to both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Divide

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Now lets focus on the second equation



Add 7 to both sides


Combine like terms on the right side


Divide both sides by 3 to isolate x



Reduce





So the solutions are:

or