Simplifying the Expression: 1/7 - 3(3/7n - 2/7)
In this article, we will simplify the algebraic expression 1/7 - 3(3/7n - 2/7) by following the order of operations (PEMDAS) and combining like terms.
Step 1: Evaluate the Expression Inside the Parentheses
First, we need to evaluate the expression inside the parentheses:
3/7n - 2/7
To simplify this expression, we can start by distributing the 3 to the terms inside the parentheses:
3(3/7n) - 3(2/7)
This gives us:
9/7n - 6/7
Step 2: Simplify the Entire Expression
Now, we can substitute the expression we just simplified back into the original equation:
1/7 - 3(9/7n - 6/7)
Next, we can distribute the negative 3 to the terms inside the parentheses:
1/7 - (27/7n - 18/7)
Step 3: Combine Like Terms
Finally, we can combine like terms to simplify the expression:
1/7 - 27/7n + 18/7
By combining the fractions with a common denominator of 7, we get:
-27/7n + 19/7
And that's the simplified expression!
