What is the answer to -5+3(6+7n)=82

  n = 3 2/7

Step-by-step explanation:

First of all, look at what you have.

It is a linear equation in n, with several layers of operations performed on it.

You can solve this a couple of ways. (1) Simplify the equation to a 2-step linear equation; (2) Undo the operations done on the variable.

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(1) -5 +18 +21n = 82 . . . eliminate parentheses

  21n = 69 . . . . . . . . . . subtract 13

  n = 69/21 = 23/7 . . . . divide by the coefficient of n and reduce the fraction

  n = 3 2/7

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(2) 3(6 +7n) = 87 . . . . . . add 5

   6 +7n = 29 . . . . . . . . . divide by 3

  7n = 23 . . . . . . . . . . . . . subtract 6

  n = 23/7 . . . . . . . . . . . . divide by the coefficient of n

  n = 3 2/7 . . . . write as a mixed number

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step-by-step explanation: