Solve each equation. -2(3 w+6)-(4 w-3)=21

Name: Problem 82, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2021-07-17T03:05:31-08:00
Duration: 58 s
Channel: Nick Johnson
Description: Solve each equation. -2(3 w+6)-(4 w-3)=21

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Key Concepts

Inverse Operations

Inverse operations are used to undo mathematical actions. For example, addition is undone by subtraction, and multiplication is undone by division. This key concept is essential for isolating the variable in an equation after simplifying the expression.

Linear Equations

Linear equations are equations of the first degree, meaning the variable is not raised to any power other than one. They can be solved by systematically applying operations such as distribution, combining like terms, and using inverse operations to isolate the variable.

Combining Like Terms

This concept involves merging terms that have the same variable parts, such as terms with the same variable raised to the same power. By combining like terms, the expression is simplified, making it easier to solve for the variable.

Distributive Property

The distributive property allows you to multiply a single term outside the parentheses by each term inside the parentheses, which is crucial when simplifying algebraic expressions and ensuring that all terms are correctly expanded before combining like terms.

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