Simplify the following:
28 - 6n + 7 (5n-2)-2n
28-6n+7(5n-2)-2n
28-6n+35n-14-2n
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To simplify the given expression, we need to simplify each term and then combine the like terms.
Let's break down the expression step by step:
Step 1: Simplify the term 7(5n - 2)
We distribute the 7 to both terms inside the parentheses:
7 * 5n = 35n
7 * -2 = -14
Therefore, 7(5n - 2) simplifies to 35n - 14.
Step 2: Simplify the expression -2n
The expression -2n does not have any like terms to combine with, so we leave it as is.
Now, let's substitute the simplified terms back into the original expression:
28 - 6n + 35n - 14 - 2n
Step 3: Combine like terms
Combine the n terms together:
-6n + 35n - 2n = 27n
Combine the constant terms together:
28 - 14 = 14
Now we have the simplified expression:
14 + 27n