2/3n-6= -8

Question

solve with inverse equations

Answer 1

To solve for n, we can start by isolating the variable on one side of the equation.

Starting with the given equation: 2/3n - 6 = -8

First, let's add 6 to both sides of the equation to eliminate the -6 on the left side:

2/3n - 6 + 6 = -8 + 6
2/3n = -2

Next, we need to get rid of the fraction by multiplying both sides of the equation by its inverse, 3/2:

(3/2)(2/3n) = (3/2)(-2)
1n = -3

Simplifying further:

n = -3

Therefore, the solution to the equation is n = -3.