Simplify −4(7b+3)+24b−8 .
Simplifying the expression, we have:
−4(7b+3)+24b−8
Distributing the -4 to each term inside the parentheses:
-28b - 12 + 24b - 8
Combining like terms:
(-28b + 24b) + (-12 - 8)
-4b + (-20)
Combining like terms:
-4b - 20
So, −4(7b+3)+24b−8 simplifies to -4b - 20.
To simplify the expression −4(7b+3)+24b−8, we will follow the order of operations.
Step 1: Simplify the expression inside the parentheses first.
-4(7b+3) becomes -4(7b) + -4(3).
Simplifying further, we have -28b -12.
Step 2: Distribute the -4 to both terms inside the parentheses.
So, -4(7b+3) becomes -28b -12.
Step 3: Combine like terms.
Combining -28b -12 with 24b - 8, we have: (-28b + 24b) + (-12 - 8).
Simplifying further, we get -4b - 20.
Therefore, the simplified expression is -4b - 20.
To simplify the given expression, you need to apply the distributive property and combine like terms. Here's how you can do it step by step:
1. Start by applying the distributive property to the first term, which is −4 multiplied by the expression (7b+3).
-4(7b+3) = -4 * 7b + (-4) * 3
Simplifying further: -28b - 12
2. Now, let's write down the entire expression with the simplified first term:
-28b - 12 + 24b - 8
3. Next, combine the like terms. In this case, the like terms are the terms with the variable 'b'. Combine the terms -28b and 24b:
-28b + 24b = -4b
4. Now, write down the entire expression with the combined 'b' terms:
-4b - 12 - 8
5. Finally, combine the constant terms -12 and -8:
-12 - 8 = -20
Therefore, the simplified form of the expression −4(7b+3)+24b−8 is -4b - 20.