Question

Solve and check. $$0.06(m-11)=22-0.05 m$$

   Solve and check.
$$0.06(m-11)=22-0.05 m$$

Prealgebra

Tom Carson 4th Edition

Chapter 6, Problem 16

Instant Answer

Solved by Expert Cheyenne Whinham

05/05/2020

Step 1

06 to both terms in the parentheses on the left side of the equation: $$0.06m - 0.66 = 22 - 0.05m$$ Show more…

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Solve and check. $$0.06(m-11)=22-0.05 m$$

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Key Concepts

Linear Equations

A linear equation is an equation in which the highest power of the variable is one. Solving linear equations involves finding the value of the variable that makes the equation true. This type of equation is fundamental in algebra as it forms the base for understanding more complex equations and systems of equations.

Distributive Property

The distributive property allows you to eliminate parentheses by multiplying a single term by each term within the parentheses. This is essential in simplifying expressions and equations, ensuring that all terms are appropriately combined and correctly manipulated in order to isolate the variable.

Combining Like Terms

Combining like terms involves simplifying expressions by adding or subtracting coefficients of the same variable. This step is crucial in reducing the equation to a simpler form and helps in isolating the variable effectively.

Solution Verification

Solution verification is the process of substituting the obtained value back into the original equation to confirm that it satisfies the equation. This step is important for ensuring that no errors occurred during the process of solving, and that the solution is indeed correct.

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