step 1 You know, this problem we want to solve this equation. So the first thing we need to do is distr

-5(3 w-3)+(16 w+1)=0

Name: Problem 88, Chapter 2: Beginning and Intermediate Algebra
Uploaded: 2022-02-24T17:30:39-08:00
Duration: 40 s
Channel: Christopher Stanley
Description: -5(3 w-3)+(16 w+1)=0

Key Concepts

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. Linear equations typically involve finding the value of the variable that makes the equation true, and they are characterized by their first-degree terms, meaning no exponents higher than one appear with the variable.

Distributive Property

The distributive property is a fundamental algebraic property that allows you to multiply a single term by each term within a set of parentheses. This property states that a*(b + c) is equivalent to a*b + a*c, and it is essential for simplifying expressions and solving equations that involve parentheses.

Combining Like Terms

Combining like terms is the process of simplifying an algebraic expression by summing up the coefficients of terms that have the same variable part. This technique reduces an expression to its simplest form and is an important step in solving equations, as it helps consolidate similar components.

Isolating the Variable

Isolating the variable is a key step in solving equations where the goal is to have the variable on one side of the equation and the constants on the other. This involves using basic arithmetic operations such as addition, subtraction, multiplication, and division to manipulate the equation, making it easier to determine the variable's value.

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