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 only appears to the first power and there are no products of variables. Solving a linear equation typically involves isolating the variable on one side through a series of algebraic operations, ensuring that the balance of the equation is maintained.

Inverse Operations

Inverse operations are methods used to reverse the effect of another operation in order to isolate a variable in an equation. For example, if a variable is divided by a number, multiplying both sides by that number will cancel out the division, helping to reveal the value of the variable.

Multiplication Property of Equality

The multiplication property of equality states that multiplying or dividing both sides of an equation by the same nonzero number will not change the equality. This principle is essential when solving equations, as it allows us to eliminate fractions or coefficients by performing the same operation on both sides.

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