Solve each equation. Leave your answer as a fraction if it...

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Key Concepts

Linear Equations

A linear equation is an equation in which the variable is raised only to the first power, and its graph is a straight line. These equations are solved by using basic algebraic operations to isolate the variable on one side of the equation.

Operations with Fractions

Working with fractions involves performing arithmetic operations such as addition, subtraction, multiplication, and division. In the context of equations, this often requires finding a common denominator to combine like terms or to clear fractions from the equation.

Clearing Denominators

Clearing denominators is a method used to eliminate fractions from an equation by multiplying every term by the least common denominator of all the fractional terms. This simplifies the equation, making it easier to solve.

Properties of Equality

The properties of equality, such as the addition, subtraction, multiplication, and division properties, allow for operations to be performed on both sides of an equation while maintaining balance. These properties are crucial when solving for the unknown variable in any algebraic equation.

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