Question

Solve for the indicated variable. $$ 20 n-30=20-5 n $$

   Solve for the indicated variable.
$$
20 n-30=20-5 n
$$

Algebra and Trigonometry

Algebra and Trigonometry

Cynthia Y. Young 4th Edition

Chapter 1, Problem 17

Instant Answer

Solved by Expert Amy Jiang

06/30/2020

Step 1

$$ 20n - 30 + 5n = 20 - 5n + 5n $$ Show more…

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Solve for the indicated variable. $$ 20 n-30=20-5 n $$

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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. Solving a linear equation involves finding the value of the variable that makes the equation true. These equations typically appear in the form ax + b = cx + d where a, b, c, and d are constants.

Properties of Equality

The properties of equality are fundamental rules that allow manipulations of equations, such as adding, subtracting, multiplying, or dividing both sides of an equation by the same number without changing the equality. These properties ensure that the balance of the equation is maintained while transforming it into an equivalent equation.

Combining Like Terms

Combining like terms is the process of consolidating terms in an equation that have the same variables raised to the same power. This simplification helps in reducing the equation to a simpler form, making it easier to isolate and solve for the variable.

Isolating the Variable

Isolating the variable involves performing algebraic operations to get the variable on one side of the equation and the constants on the other. This step is crucial in solving equations, as it directly leads to finding the value of the variable that satisfies the equation.

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