Solve each equation. 4{2-[3(c+1)-2(c+1)]}=-2 c

Name: Problem 89, Chapter 2: Intermediate Algebra for College Students
Uploaded: 2020-08-03T19:55:42-08:00
Duration: 2 min 32 s
Channel: Catt Huth
Description: Solve each equation. 4{2-[3(c+1)-2(c+1)]}=-2 c

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Key Concepts

Linear Equations

Linear equations involve expressions where the unknown variable is raised only to the first power. They form the foundation of algebra by providing a systematic way to find the value of an unknown quantity through operations that maintain equality.

Distributive Property

The distributive property allows multiplication to be distributed over addition or subtraction inside parentheses. This concept is crucial for expanding expressions and rewriting them in a simpler form to facilitate further manipulation.

Combining Like Terms

Combining like terms involves simplifying expressions by adding or subtracting coefficients of the same variable. This process reduces the complexity of expressions and is an essential step in making equations easier to solve.

Isolation of Variables

Isolation of variables is the method of manipulating an equation to get the unknown variable on one side and all other terms on the opposite side. This technique is vital for solving equations as it directly leads to determining the value of the variable.

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