Question

Solve the equations. $$ 8-(3 q+4)=6-q $$

   Solve the equations.
$$
8-(3 q+4)=6-q
$$

Prealgebra & Introductory Algebra

Prealgebra & Introductory Algebra

Julie Miller, Molly… 2nd Edition

Chapter 9, Problem 91

Instant Answer

Solved by Expert Erika Bustos

04/03/2022

Step 1

Step 1: First, distribute the negative sign in the left side of the equation to get rid of the parentheses: $$ 8 - 3q - 4 = 6 - q $$ Show more…

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Solve the equations. $$ 8-(3 q+4)=6-q $$

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Key Concepts

Isolating the Variable

Isolating the variable involves performing algebraic operations to move all instances of the variable to one side of the equation and the constants to the other side. This process often uses inverse operations and ensures that the variable is by itself, which makes it possible to solve the equation.

Combining Like Terms

Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. This step is essential in reducing an equation to its simplest form, making it easier to isolate the variable.

Linear Equations

Linear equations are algebraic equations in which each term is either a constant or the product of a constant and a single variable. They represent straight lines when graphed on a coordinate plane and are solved by finding the value of the variable that satisfies the equation.

Distributive Property

The distributive property is a key algebraic rule that allows you to multiply a single term by terms inside a bracket. It is particularly useful for removing parentheses, especially when a negative sign or coefficient is present before them.

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