SOLUTION: 2|d+3|=8

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Start with the given equation


Divide both sides by 2



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

or Set the expression equal to the original value 4 and it's opposite -4




Now lets focus on the first equation


Start with the given equation


Subtract 3 from both sides


Combine like terms on the right side

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Answer:
So our answer is

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Now lets focus on the second equation



Start with the given equation


Subtract 3 from both sides


Combine like terms on the right side

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Answer:
So our answer is



So the solutions to are:

and



Notice if we graph (just replace d with x) and (just set each side equal to y and graph), we get


Graph of (red) and (green)

and we can see the two graphs intersect at and . So this verifies our answer.