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Not usually. Given numbers a and b, the mean or average is (a + b)/2 but the geometric mean is sq rt (a X b). If both a and b equal 1, the results are the same.
If you mean: 7+2b = 1 then the value of b is -3
b=2 a=1 c=3 so b plus a =c
A+A*b does not mean A plus Ab the operation signified by "+" is called "or" the operation signified by "*" is called "and" there are four possible outcomes of a+a*b if a=1 and b=1 the result is 1 if a=1 and b=0 the result is 1 if a=0 and b=1 the result is 0 if a=0 and b=0 the result is 0 a+a*b is 1 if a is 1 and a+a*b is 0 if a is 0 regardless of the value of b thus a+a*b=a Q.E.D.
If you mean 3b+9 = 12 then b equals 1