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QuestionSolve the equation 5n−9n+1=−75n - 9n + 1 = -7 and express your answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 5n−9n+1=−75n -9n +1 = -7 . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places.

STEP 2

First, we need to simplify the equation by combining like terms on the left side of the equation.
5n−9n=−4n5n -9n = -4nSo, the equation becomes−4n+1=−7-4n +1 = -7

STEP 3

Next, we need to isolate the term with the variable n on one side of the equation. We can do this by subtracting1 from both sides of the equation.
−n+1−1=−7−1-n +1 -1 = -7 -1

STEP 4

implify the equation.
−4n=−8-4n = -8

STEP 5

Now, we need to solve for n. We can do this by dividing both sides of the equation by -4.
n=−8−4n = \frac{-8}{-4}

STEP 6

implify the right side of the equation to find the value of n.
n=2n =2So, the solution to the equation 5n−9n+1=−5n -9n +1 = - is n=2n =2.

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