step 1 Well, this problem we've been given the following equation that we would like to solve. Now, in

4(k+6)-(8+3 k)=-5

Name: Problem 86, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-06T23:00:36-08:00
Duration: 53 s
Channel: Christopher Stanley
Description: 4(k+6)-(8+3 k)=-5

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Key Concepts

Distributive Property

The distributive property allows one to multiply a single term across terms inside parentheses. This property is crucial in simplifying expressions like those found in linear equations, as it helps to remove parentheses by distributing multiplication over addition or subtraction.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. Solving linear equations involves finding the value of the variable that makes the equation true—a fundamental skill in algebra that applies to many real-world problems.

Combining Like Terms

Combining like terms involves simplifying expressions by summing coefficients of similar variable terms or constants. This process reduces the equation into a simpler form and is essential for making the process of isolating and solving for the variable more straightforward.

Isolation of Variables

Isolation of the variable is a method used to solve equations by rearranging the equation so that the variable of interest is on one side by itself. This typically involves performing inverse operations, such as addition, subtraction, multiplication, or division, and is a critical step in solving linear equations.

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