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A. g=11

Step-by-step explanation:

We want to find which choice makes the equation true. Let's plug in each answer choice.

A. g=11

26=7(11-9)+12      

26= 7(2)+12              Solve inside the parentheses.

26= 14+12                 Multiply 7 and 2.

26= 26                      Add 14 and 12.

This answer must be correct, but let's check the other choices .

B. g=12

26=7(12-9)+12      

26= 7(3)+12              Solve inside the parentheses.

26= 21+12                 Multiply 7 and 3.

26≠33                       Add 14 and 12.

This choice is not correct.

C. g= 13

26=7(13-9)+12      

26= 7(4)+12              Solve inside the parentheses.

26= 28+12                Multiply 7 and 4.

26≠40                      Add 28 and 12.

This is also not correct.

D. g= 14

26=7(14-9)+12      

26= 7(5)+12              Solve inside the parentheses.

26= 35+12                 Multiply 7 and 5.

26≠47                       Add 35 and 12.

This choice is not correct either.

The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.