Simplify each expression by combining like terms.
negative 7 left parenthesis n minus 3 right parenthesis plus 5 left parenthesis n plus 1 right parenthesis
-7(n-3) + 5(n+1)
To simplify the expression, we need to combine like terms.
Starting with the terms inside the parentheses:
-7(n - 3) + 5(n + 1)
Using the distributive property, we can multiply -7 by both terms inside the first set of parentheses and 5 by both terms inside the second set of parentheses:
= -7n + 21 + 5n + 5
Now, let's combine like terms by adding the coefficients of n:
= (-7n + 5n) + 21 + 5
Simplifying the coefficients of n:
= -2n + 21 + 5
Lastly, combining the constants:
= -2n + 26
So, the simplified expression is -2n + 26.