Solve each equation. If necessary, round answers to the...

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Key Concepts

Linear Equations

Linear equations are mathematical expressions that represent straight lines when graphed. They involve variables raised only to the first power, and solving them typically involves finding the unique value of the variable that makes the equation true.

Combining Like Terms

Combining like terms is a fundamental algebraic process where terms with the same variable and exponent are added or subtracted to simplify an equation. This process is critical for reducing equations to a simpler form before isolating the variable.

Isolating the Variable

Isolating the variable involves manipulating an equation using inverse operations such as addition, subtraction, multiplication, or division to separate the variable on one side of the equation. This step is key to solving for the unknown value in an equation.

Rounding

Rounding is the practice of approximating a number to a desired degree of accuracy, such as to the nearest hundredth. This is often necessary when the exact solution is a long decimal or when a problem specifically instructs a certain level of precision.

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