simplify -4(n+1)+3(n-1)
-4n-4+3n-3
To simplify the expression -4(n+1)+3(n-1), you can follow these steps:
Step 1: Distribute -4 and 3 to the terms inside the parentheses:
-4(n+1) = -4 * n + (-4) * 1 = -4n - 4
3(n-1) = 3 * n + 3 * (-1) = 3n - 3
Step 2: Combine the like terms:
-4n - 4 + 3n - 3
Step 3: Simplify further by combining the like terms:
(-4n + 3n) + (-4 - 3)
- n - 7
Therefore, the simplified expression is -n - 7.
To simplify the given expression, we need to apply the distributive property and combine like terms. Let's break it down step by step:
1. Start by applying the distributive property:
-4(n + 1) + 3(n - 1)
Distribute -4 to both terms inside the parentheses, and distribute 3 to both terms inside the second parentheses:
(-4 * n) + (-4 * 1) + (3 * n) + (3 * -1)
Simplifying this expression gives us:
-4n - 4 + 3n - 3
2. Next, combine the like terms.
Combine -4n and 3n:
(-4n + 3n) - 4 - 3
Simplifying the expression inside gives us:
-n - 4 - 3
3. Finally, combine -4 and -3:
-n - 7
So, simplifying the expression -4(n + 1) + 3(n - 1) gives us -n - 7.