To solve the equation 2/3n - 6 = -8 using inverse operations, we will isolate the variable n.
Step 1: Add 6 to both sides of the equation to get rid of the constant term on the left side.
(2/3n - 6) + 6 = -8 + 6
2/3n = -2
Step 2: Multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, to get rid of the fraction coefficient on the left side.
(3/2)(2/3n) = (3/2)(-2)
(3/2)*(2/3)n = (3/2)*(-2)
1n = -3
Step 3: Simplify both sides of the equation by removing the visible coefficient.
n = -3
The solution to the equation 2/3n - 6 = -8 is n = -3.
solve by using inverse operations 2/3n -6 =-8
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