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45 + D = 45 + 14 = L
Solve for L.
Let L be the length (in miles) after D days of construction.
Write an equation relating L to D. Then use this equation to find the length of the road after 14 days.
Solve for L.
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L = 45 + D
This equation states that the length L of the road is equal to the initial length of 45 miles plus the number of days D on which the construction crew added one mile each day.
To find the length of the road after 14 days, we substitute D = 14 into the equation:
L = 45 + 14
L = 59
Therefore, the length of the road after 14 days of construction is 59 miles.