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devlian [24]
3 years ago
15

Solve the following equation: 5n+34=−2(1−7n). Write descriptive steps using vocabulary and mathematical reasoning explaining how

you solved and found your solution
Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0

Answer:   4 = n

Step-by-step explanation:

5n + 34 = -2(1-7n)

Distribute negative 2 to both 1 and negative 7n. You do this first due to the rules of PEMDAS

5n + 34 = -2 + 14n

Add two to both sides of the equation in order to further isolate (n) in 14.

5n + 36 = 14n

Subtract 5n from both sides of the equation so that the values with (n) are on one side of the equation.

36 = 9n

Divide nine from 36 and 9n in order to isolate (n).

4 = n

This then gives you your final answer.

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One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.

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