Simplify each expression by combining like terms.
-7(n-4)+3(n+1)
-7n +28 + 3n + 3
Combine like terms:
(-7n + 3n) + (28 + 3)
-4n + 31
To simplify the expression -7(n-4)+3(n+1), we will distribute the -7 and 3 to each term inside the parentheses.
First, let's distribute -7 to n and -4:
-7(n-4) = -7n + 28
Next, distribute 3 to n and 1:
3(n+1) = 3n + 3
Now, we can combine like terms by adding the terms with the same variable:
-7n + 28 + 3n + 3
Combine the constant terms:
28 + 3 = 31
Combine the n terms:
-7n + 3n = -4n
The simplified expression is -4n + 31.