When the quantity of the sum of 5 times a number and 7 is decreased by 1, the result is 1 more than 6 times the number. What is the equation that models the verbal description, and what is the number?
A. 5n + 7 - 1 = 6n + 1; n = 5
B. 5n (7 + 1) = 6n + 1; n = 7
C. 7 (5n - 1) = 6n - 1; n = 5
D. 5n + 7 - 1 = 6n + 1; n = 31
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