The sum of sixteen and six times a number t is eighty-two. What is the number?

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Answer 1 · 2016-12-06T16:29:23

#t = 11#

First, let's write the equation we need to solve one step at a time:

"six times a number #t#" can be written as:

#6*t#

Then, "The sum of sixteen and " this number can be written as:

#(6*t) + 16#

Finally, this term "is eighty-two" gives us:

#(6*t) + 16 = 82#

We can now solve for #t#:

#(6*t) + 16 - 16 = 82 - 16#

#(6*t) + 0 = 66#

#6t = 66#

#(6t)/6 = 66/6#

#(cancel(6)t)/cancel(6) = 11#

#t = 11#