Question

What value of n makes the equation true?
-1/5n + 7=2
n=​

Answer 1

Answer: n = 25

Step-by-step explanation: In this equation, our first step is to isolate the n term by subtracting 7 from both sides.

On the left, +7 -7 cancels and we're left with -1/5n.

On the right, 2 - 7 simplifies to -5.

So we have -1/5n = -5.

In order to get n by itself, since it's being multiplied by a fraction,

we multiply both sides of the equation by the reciprocal of that fraction.

The reciprocal of -1/5 is -5/1.

So we multiply both sides of the equation by -5/1.

So we have (-5/1)(-1/5n) = -5(-5/1).

On the left, our 1's cancel and our 1's cancel.

Also, remember that a negative times a negative is a positive.

So on the left we are left with n.

On the right, -5(-5/1) is 25.

So n = 25.

Answer 2

n = 25

Explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and is:

Parenthesis

Exponents & roots

Multiplication

Division

Addition

Subtraction

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First, subtract 7 from both sides:

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

(-1/5)n = 2 - 7

(-1/5)n = -5

Next, multiply -5 from both sides:

(-1/5)(-5)n = (-5)(-5)

n = -5 * -5

n = 25

25 is your answer for n.

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