step 1 Alright here on this problem we have this equation that we would like to solve. So let's start b

(8 r+3)-(1+7 r)=6

Name: Problem 84, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-18T17:49:03-08:00
Duration: 37 s
Channel: Christopher Stanley
Description: (8 r+3)-(1+7 r)=6

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Key Concepts

Combining Like Terms

Combining like terms is the process of consolidating terms in an algebraic expression that have identical variable parts, which simplifies the equation. This simplification is crucial for reducing complexity and making it easier to solve for the variable by minimizing redundant expressions.

Distribution and Parentheses Removal

Distribution involves multiplying a term by each term inside a parenthesis, especially when a negative sign or coefficient is present, to eliminate the parentheses. This step is essential in transforming an expression into a form where like terms can be combined, ensuring accurate simplification of the equation.

Linear Equation

A linear equation is an algebraic statement involving a variable where each term is either a constant or the product of a constant and a single variable raised to the first power. These equations represent straight lines when graphed and are fundamental to algebra, facilitating the study of relationships between quantities.

Variable Isolation

Variable isolation is the strategy used to rearrange an equation so that the unknown variable is by itself on one side of the equation. This is achieved by applying inverse operations such as addition, subtraction, multiplication, or division, which allows for the determination of the variable's value.

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