step 1 Here we want to solve the equation 2 times negative 3 r plus 2 is equal the negative 5 times r m

2(-3 r+2)=-5(r-3)

Name: Problem 90, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-16T11:07:36-08:00
Duration: 1 min 6 s
Channel: Christopher Stanley
Description: 2(-3 r+2)=-5(r-3)

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Key Concepts

Combining Like Terms

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. This process simplifies expressions and is a necessary step in reducing equations to a form where the variable can be easily isolated.

Balancing Equations

Balancing equations refers to the principle that whatever operation is performed on one side of an equation must be performed on the other side in order to maintain equality. This concept is crucial when solving equations to ensure that the steps taken to isolate the variable do not alter the equation's balance.

Linear Equations

A linear equation is an equation in which the highest power of the variable is one. It represents a straight line when graphed and involves techniques such as combining like terms, using the distributive property, and isolating the variable to find the solution.

Distributive Property

The distributive property is a fundamental algebraic property that allows one to multiply a single term by each term within a parenthesis. This operation simplifies expressions and is essential when solving equations that involve parentheses enclosing sums or differences.

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