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Please help me with this problem step by step; I am really confused. I know the answer, but I am very confused how to do it. 4² - 35 + (3² - 18 + 4(-6)) (answer is -52)

a. 4² - 35 + (3² - 18 + 4(-6)) = -52
b. 4² - 35 + (3² - 18 + 4(-6)) = 13
c. 4² - 35 + (3² - 18 + 4(-6)) = 6
d. 4² - 35 + (3² - 18 + 4(-6)) = -12

User Fasouto
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Final answer:

To solve the expression, we apply the order of operations by first dealing with the parentheses, then the exponents, and finally the addition and subtraction, resulting in the answer -52.

Step-by-step explanation:

To solve the expression 4² - 35 + (3² - 18 + 4(-6)), we should follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), Addition, and Subtraction (PEMDAS).

First, we solve the operations inside the parentheses:

  • is 9.
  • 9 - 18 equals -9.
  • 4(-6) is -24 (when two numbers multiply with opposite signs, the result has a negative sign).
  • -9 + (-24) is -33.

Now, we take this result and solve the rest of the expression:

  • is 16.
  • 16 - 35 equals -19.
  • -19 + (-33) (adding two negative numbers) is -52.

There's the answer: -52.

User Danesha
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