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

Mathematics

1 answer:

dalvyx [7]3 years ago

7 0

Answer:

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.

(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

(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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