Simplify −4(7b+3)+24b−8.(1 point) Responses 4b+20 4 b plus 20 −4b−20 negative 4 b minus 20 4b−20 4 b minus 20 −4b+20
To simplify −4(7b+3)+24b−8, we can start by distributing the -4 to the terms inside the parentheses:
-4(7b+3) = -28b - 12
Now we can substitute this back into the original expression:
-28b - 12 + 24b - 8
Combining like terms, we get:
-4b - 20
So the simplified form is -4b - 20.
To simplify the expression −4(7b+3)+24b−8, we can apply the distributive property to remove the parentheses and combine like terms.
First, let's distribute the -4 to both terms inside the parentheses:
-4 * 7b = -28b
-4 * 3 = -12
After simplifying, we have:
-28b - 12 + 24b - 8
Next, we can combine like terms by adding the coefficients of the variables:
(-28b + 24b) + (-12 - 8) = -4b - 20
Therefore, the simplified expression is -4b - 20.
To simplify the expression −4(7b + 3) + 24b − 8, you can follow the order of operations, which is parentheses, multiplication/division (from left to right), and then addition/subtraction (from left to right).
First, start by simplifying the expression inside the parentheses:
−4(7b + 3) = −28b − 12
Next, distribute the −4 to each term inside the parentheses:
−4(7b + 3) = −4(7b) − 4(3) = −28b − 12
Now, simplify the expression further by combining like terms:
−28b − 12 + 24b − 8 = −28b + 24b − 12 − 8 = −4b − 20
Therefore, the simplified expression for −4(7b + 3) + 24b − 8 is −4b − 20, which is the same as option 4 in the provided responses: 4b − 20.