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Question Solve for the value of nn in the linear equation 189=−9(n−12)189=-9(n-12).

Studdy Solution

STEP 1

Assumptions
1. The equation is 189=−9(n−12)189=-9(n-12)
2. We are solving for the variable nn

STEP 2

First, we need to isolate the term with the variable nn. We can do this by dividing both sides of the equation by −9-9.
189−9=−9(n−12)−9\frac{189}{-9} = \frac{-9(n-12)}{-9}

STEP 3

Perform the division operation on both sides of the equation.
−21=n−12-21 = n - 12

STEP 4

Now, we need to isolate nn by adding 1212 to both sides of the equation.
−21+12=n−12+12-21 + 12 = n - 12 + 12

STEP 5

Perform the addition operation on both sides of the equation.
−9=n-9 = n
So, the solution to the equation 189=−9(n−12)189=-9(n-12) is n=−9n = -9.

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