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How do you solve #5n + 34 = −2(1 − 7n)#?

Answer 1

Genesis Allen

Using distributive property

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

5n + 34 = -2 x1 + (-2) ( -7n)

5n + 34 = -2 + 14 n

Subtracting 34 from both sides;

5n + 34 -34 = -2 + 14n -34

5n = 14n -36

subtracting 14 n from both sides ;

5n -14n = 14n -36 -14n

-9n = -36

solving n

n = -36 /-9 = 4

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Answer 2

Eva Abramson

To solve the equation 5n + 34 = -2(1 - 7n), first distribute the -2 on the right side: 5n + 34 = -2 + 14n. Then, move all terms involving n to one side and constants to the other: 5n - 14n = -2 - 34. Simplify: -9n = -36. Finally, solve for n by dividing both sides by -9: n = 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.