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12

Step-by-step Answer
PAGE: 427SET: ExercisesPROBLEM: 12
Please look in your text book for this problem Statement

The equation is 2 open parentheses d plus 6 close parentheses equal 3 d minus 1.

2 d plus 2 open parentheses 6 close parentheses equal 3 d minus 1                     (Apply distributive property: a (b + c) = ab + ac)

2 d plus 12 equal 3 d minus 1                         (Multipy: 2 open parentheses 6 close parentheses equal 12)

2 d plus 12 minus 2 d equal 3 d minus 1 minus 2 d         (Subtract 2 d from each side)

12 equal d minus 1                                    (Simplify)

12 plus 1 equal d minus 1 plus 1                        (Add 1 to each side)

d equal 13                                          (simplify)

Check:

To check the solution , substitute d equal 13 in the original equation.

2 open parentheses 13 plus 6 close parentheses equal 3 open parentheses 13 close parentheses minus 1                 (Substitute d equal 13)

2 open parentheses 19 close parentheses equal 3 open parentheses 13 close parentheses minus 1                       (Add: 13 + 6 = 19)

38 equal 39 minus 1                                  (Multipy 2 open parentheses 19 close parentheses equal 38 space italic and space 3 open parentheses 13 close parentheses equal 39)

38 equal 38                                        (Subtract: 39 minus 1 equal 38)

The solution is d equal 13.



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