Question
What is the expression 4+8(3x-2)-7b when simplified? Apply the order of operations and the commutative and distributive properties. Show all your work.
Answers
GPT 3.5
To simplify the expression 4+8(3x-2)-7b, we need to apply the order of operations and the commutative and distributive properties.
According to the order of operations, we must perform any calculations within parentheses first. Inside the parentheses, we have 3x-2.
Next, we use the distributive property to multiply 8 by each term inside the parentheses.
8 * 3x = 24x
8 * -2 = -16
So the expression becomes:
4 + 24x - 16 - 7b
Next, we can combine like terms.
4 + (-16) = -12
So the expression becomes:
-12 + 24x - 7b
We have now simplified the expression 4+8(3x-2)-7b to -12 + 24x - 7b.
According to the order of operations, we must perform any calculations within parentheses first. Inside the parentheses, we have 3x-2.
Next, we use the distributive property to multiply 8 by each term inside the parentheses.
8 * 3x = 24x
8 * -2 = -16
So the expression becomes:
4 + 24x - 16 - 7b
Next, we can combine like terms.
4 + (-16) = -12
So the expression becomes:
-12 + 24x - 7b
We have now simplified the expression 4+8(3x-2)-7b to -12 + 24x - 7b.