Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the given equation, correctly applying these rules is essential to simplify the expression before solving for the variable.
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Solving Linear Equations
Solving linear equations involves finding the value of the variable that makes the equation true. This typically requires isolating the variable on one side of the equation through various algebraic manipulations, such as adding, subtracting, multiplying, or dividing both sides by the same number. Understanding how to manipulate equations is crucial for arriving at the correct solution.
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Negative Numbers and Their Properties
Negative numbers are values less than zero and have unique properties, especially when it comes to multiplication and division. For instance, multiplying or dividing two negative numbers results in a positive number, while multiplying or dividing a negative number by a positive number yields a negative result. Recognizing how these properties affect the outcome of the equation is vital for solving it correctly.
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